mm-429 === Subject: : Re: linking formOriginator: israel@math.ubc.ca (Robert Israel)> Does anyone know a textbook reference for the construction of the> linking form of a manifold, and the proof that it is non-singular? The linking form appears in Example 12.44 of my recent book Algebraic and geometric surgery (Oxford University Press, 2002), and also in Chapter 3 of my earlier book Exact sequences in the algebraic theory of surgery (Princeton University Press, 1981) which is available from http://www.maths.ed.ac.uk/~aar/books/exact.pdf I don't know if these are textbook references. At any rate, the L-theory localization exact sequence is a good algebraic surgery setting for linking forms and their non-simply-connected analogues, although maybe too elaborate and non-geometric for some tastes. Andrew Ranickifile of your older book. I was hoping for something more basic, thatcould be read by a beginning graduate student; I suppose that's what Imeant by textbook reference.I did find one reference, an Ast.8erisque volume (26) by Jean Lannes andFran.8dois Latour, entitled Forme quadratique d'enlacement etapplications. Page 18 has the definition of the linking form (on thetorsion of the 2k homology of a 4k-1 manifold) in terms of Poincar.8eduality and Bockstein operators. It is asserted that this form isnonsingular, with the (easy) verification is left to the reader.Danny=== === Subject: : Subset of R^3Originator: israel@math.ubc.ca (Robert Israel)Is it true that every (arc-connected) subset of R^3 has torsionlessfundamental group?=== === Subject: : Re: Subset of R^3Originator: israel@math.ubc.ca (Robert Israel)See http://www.math.niu.edu/~rusin/known-math/95/torsion.pi1 Is it true that every (arc-connected) subset of R^3 has torsionless fundamental group?=== === Subject: : A Geometric Optimization ProblemOriginator: israel@math.ubc.ca (Robert Israel)The following is the problem:Suppose that we draw a circle(smaller) inside another circle(bigger).Now, there may be many ways of mapping every point in the AREAenclosed by the larger circle to some point on the CIRCUMFERENCE ofthe smaller circle.Consider mappings that are UNIFORM, in the sense that any two equallength arcs on the circumference of the smaller circle have equalareas mapped to them.In this set of uniform mappings, which mapping(s) minimize theEXPECTED distance between a point inside the larger circle, and thepoint to which it is mapped on the circumference of the inner circle.Any solutions/links to the right kind of literature would beappreciated.3 comments:1. The solution is trivial when circles are concentric.2. The problem remains meaningful on discretizing the area andcircumference, and since discrete optimization problems always haveminima, this problem should also have a meaningful solution.3. What happens if the circle is replaced by an irregular shape?=== === Subject: : Re: Higher-Dimensional Knot TheoryOriginator: israel@math.ubc.ca (Robert Israel) 1. I read on mathworld (http://mathworld.wolfram.com/Knot.html) that it has been proved that knots cannot exist in dimension greater than or equal to four. Is this actually saying that 1-manifolds embedded in R^4 are basically equivalent to the unknot? 3. Is it the case that in for higher-dimensional knots, embedding them in yet higher dimensional spaces enables us to untie them (in the sense of question 1)?Yes. In general, one can not knot an n-manifold in R^m provided m>2n+1.Precisely: there is only one embedding up to isotopy. I believe the firstperson who gave arguments to this effect was Hassler Whitney. This wasmore-or-less implicit in his proof of the weak embedding theorem.The rough outline of the proof is this: if f,g:N-->R^m are two embeddings,they are homotopic. Let F:IxN-->R^m be the straight-line homotopy fromf to g, F(t,x)=(1-t)f(x)+tg(x)Define G(t,x)=(F(t,x),t). This is a function from IxN to R^{m+1}.By the weak embedding theorem, G is epsilon-close to an embedding G'.Similarly, there is a dense collection of unit direction vectors v in them-sphere so that if pr_v is projection onto the orthogonal complement ofv, then pr_v(G') is a 1-parameter family of embeddings. So choose v sothat it is close to the vector (0,0,...,0,1). This gives you pr_v(G') a1-parameter family of embeddings such that pr_v(G'(0,x)) is epsilon-closeto f(x) and pr_v(G'(1,x)) is epsilon-close to g(x) (for all x in N).Of course, I've skipped lots of steps here, primarily, the proof of theweak embedding theorm. This can be found in Hirsch's differentialtopology of Guillemin and Pollack's differential topology. 2. I read elsewhere that we could generalise the definiton of knot to an embedding of an n-manifold in an n+2-manifold. Is this dependent at all on the metric structure of the manifold? e.g. arepseudo-Riemannian knots any different from conventional ones? The only reason I ask is in relation to Campbell's theorem, where the number of dimensions needed to embed Riemannian and pseudo-Riemannian manifolds in locally flat space are different.There are knotted codimension-1 manifolds, too: compact surfaces in R^3.It turns out that all embedded 2-spheres in R^3 bound 3-balls, so theyare all isotopic ie: no knotted 2-spheres in R^3. Similarly, allembedded tori S^1xS^1 in S^3 bound a solid torus D^2xS^1 so studyingembeddings of tori in R^3 or S^3 is essentially the theory of classicalknots in R^3. Once you get to higher genus surfaces things become morecomplicated.For example: There is a connected-sum decomposition of embeddings ofcompact surfaces in S^3. Defn: an embedded surface N in S^3 is aconnected-sum if you can write S^3 a union of two 3-balls B_1, B_2 with(B_1 intersect B_2) a 2-sphere which intersects the surface N in a singleclosed curve C. The connected-sum is non-trivial provided the closedcurve C cuts the surface N into two components, neither one a disc. Anembedded surface is prime if it does not admit a non-trivial connected-sumdecomposition. With a little work, you can construct embeddings of genus 2surfaces in S^3 which are prime. Perhaps someone here knows a goodreference? I've never seen a reference myself, these things just pop-upoccasionally.In dimension 4 there is an even more basic problem. Given an embedded S^3in S^4, does it bound a 4-ball in S^4? are there exotic smoothly-embeddedS^3's in S^4? This is the Schoenflies problem in dimension 4. In allother dimensions the answer is known (see for example the Kirby problemlist http://www.math.berkeley.edu/~kirby/problems.ps.gz)-ryan=== === Subject: : Re: Higher-Dimensional Knot TheoryOriginator: israel@math.ubc.ca (Robert Israel) 1. I read on mathworld (http://mathworld.wolfram.com/Knot.html) that it has been proved that knots cannot exist in dimension greater than or equal to four. Is this actually saying that 1-manifolds embedded in R^4 are basically equivalent to the unknot?Yes. If you want to pass one strand through another, just move the strand a bit sideways into the fourth dimension. I find it easier to imagine the fourth dimension as some attribute like color, e.g., red. So make one strand redder, move it past where the other strand is, then remove the red color. Voila, the two strands have passed through each other.=== === Subject: : Re: Higher-Dimensional Knot TheoryOriginator: israel@math.ubc.ca (Robert Israel)In schrieb David Marcus: [ ... ] > Is this actually saying that 1-manifolds embedded in> R^4 are basically equivalent to the unknot? Yes. If you want to pass one strand through another, just move the strand a bit sideways into the fourth dimension. I find it easier to imagine the fourth dimension as some attribute like color, e.g., red. So make one strand redder, move it past where the other strand is, then remove the red color. Voila, the two strands have passed through each other.Great, but this proof only works under the assumption that the knot is contained in a 3-dimensional subspace of R^4. Isn't it at least as hard to show that any knot can be brought into such a position as showing the triviality by the other mentioned, more technical methods? === === Subject: : Re: Higher-Dimensional Knot TheoryOriginator: israel@math.ubc.ca (Robert Israel) 1. I read on mathworld (http://mathworld.wolfram.com/Knot.html) that it has been proved that knots cannot exist in dimension greater than or equal to four. Is this actually saying that 1-manifolds embedded in R^4 are basically equivalent to the unknot?Yes. This is true for locally flat topological embeddings(H.Gluck, Unknotting S^1 in S^4, Bull. A.M.S. 69 (1963), 91-94). 2. I read elsewhere that we could generalise the definiton of knot to an embedding of an n-manifold in an n+2-manifold. Is this dependent at all on the metric structure of the manifold? No. There is a purely topological theory of high-dimensional knots.There is a severely algebraic treatment in my book High-dimensional knot theory (Springer, 1998) 3. Is it the case that in for higher-dimensional knots, embedding them in yet higher dimensional spaces enables us to untie them (in the sense of question 1)?Yes. It is also possible to topologically untie locally flat n-dimensional knots in (n+3)-space for any n>1 (J.Stallings, On topologically unknotted spheres, Ann. of Maths. 77 (1963), 490-503).Andrew Ranicki=== === Subject: : Re: Higher-Dimensional Knot TheoryOriginator: israel@math.ubc.ca (Robert Israel)Hi!I've recently become interested in knots, and I was wondering ifanyone could clarify a few points for me...1. I read on mathworld (http://mathworld.wolfram.com/Knot.html) thatit has been proved that knots cannot exist in dimension greater thanor equal to four. Is this actually saying that 1-manifolds embedded inR^4 are basically equivalent to the unknot?That's exactly what it's saying (or should be saying, sincethat's what's true).2. I read elsewhere that we could generalise the definiton of knot toan embedding of an n-manifold in an n+2-manifold. Is this dependent atall on the metric structure of the manifold? e.g. arepseudo-Riemannian knots any different from conventional ones? Theonly reason I ask is in relation to Campbell's theorem, where thenumber of dimensions needed to embed Riemannian and pseudo-Riemannianmanifolds in locally flat space are different.Generally when seeking to generalize classical knot theory, oneassumes that there *is* at least one embedding (of whatever sort)of X in Y, and only then tries to classify *all* embeddings (perhapsof that sort, or perhaps of a more--or maybe less--restricted sort)of X in Y (or at least distinguish from some others). So, for example,you might give X a particular metric, find a locally flat space Yin which X embeds, and then dare to call the study of all suchembeddings of (that fixed) X in (that fixed) Y knot theory;depending on who you were talking to, you might or might notget away with it.3. Is it the case that in for higher-dimensional knots, embedding themin yet higher dimensional spaces enables us to untie them (in thesense of question 1)?Yes (but you might need to increase the dimension of the target spacemore than you'd think).Lee Rudolph=== === Subject: : This week in the mathematics arXiv (13 Oct - 17 Oct)Originator: israel@math.ubc.ca (Robert Israel)Here are this week's titles in the mathematics arXiv, available at: http://front.math.ucdavis.edu/ http://front.math.ucdavis.edu/submissionsThis week in the mathematics arXiv may be freely redistributedwith attribution and without modification.Titles in the mathematics arXiv (13 Oct - 17 Oct)-------------------------------------------------AC: Commutative Algebra-----------------------math.AC/0310227 Ian M. Aberbach, Florian Enescu: The Structure of F-Pure Ringsmath.AC/0310192 Steven Dale Cutkosky, Laura Ghezzi: Completions of valuation ringsAG: Algebraic Geometry----------------------math.AG/0310228 E. Amerik, F. Campana: Exceptional points of an endomorphism of the projective planemath.AG/0310219 Cindy De Volder, Antonio Laface: Degeneration of linear systems through fat points on K3 surfacesmath.AG/0310215 Jan Stevens: Poincare series and zeta function for an irreducible plane curve singularitymath.AG/0310212 Masao Jinzenji: Coordinate Change of Gauss-Manin System and Generalized Mirror Transformationmath.AG/0310189 K. Costello, I. Grojnowski: Hilbert schemes, Hecke algebras and the Calogero-Sutherland systemmath.AG/0310186 D. Kaledin: Symplectic singularities from the Poisson point of viewmath.AG/0310185 Ernesto Carlo Mistretta: Stable vector bundles as generators of the Chow ringmath.AG/0310173 D. Kaledin: Normalisation of a Poisson algebra is Poissonmath.AG/0310168 Ivan Soprounov: On combinatorial coefficients and the Gelfond-Khovanskii residue formulamath.AG/0310160 Norbert Hoffmann: The Boden-Hu conjecture holds precisely up to rank eightmath.AG/0310158 Anita M. Rojas: Group actions on Jacobian varietiesmath.AG/0310153 Ingrid C. Bauer, Fabrizio M.E. Catanese: Symmetry and Variation of Hodge Structuresmath.AG/0310150 Ingrid C. Bauer, Fabrizio M.E. Catanese: Some new surfaces with $p_g = q = 0$AP: Analysis of PDEs--------------------math.AP/0310234 M. Agueh, N. Ghoussoub, X. Kang: Geometric inequalities via a general comparison principle for interacting gasesmath.AP/0310199 Piero D'Ancona, Vittoria Pierfelice: On the wave equation with a large rough potentialmath.AP/0310184 Raphael Ponge: On the Asymptotic Completeness of the Volterra Calculusmath.AP/0310155 Z. Grujic: Constructing regular self-similar solutions to the 3D Navier-Stokes equations originating at singular and arbitrary large initial dataAT: Algebraic Topology----------------------math.AT/0310237 Steven R. Costenoble, Stefan Waner: Equivariant ordinary homology and cohomologymath.AT/0310236 John R. Klein: On embeddings in the spheremath.AT/0310190 Daniel Dugger, Daniel C. Isaksen: Motivic cell structuresmath.AT/0310146 Stefan Schwede: Morita theory in abelian, derived and stable model categoriesCA: Classical Analysis and ODEs-------------------------------math.CA/0310241 Rutwig Campoamor-Stursberg: Erzeugung nichtlinearer gewohnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien [Generation of ordinary differential equations with predetermined Lie algebra of point symmetries]math.CA/0310145 Toby C O'Neil: The Hausdorff dimension of the visible sets of connected compact setsCO: Combinatorics-----------------math.CO/0310206 Roland Bacher: Counting Triangulations of Configurationsmath.CO/0310197 Silvia Heubach, Toufik Mansour: Counting rises, levels, and drops in compositionsmath.CO/0310195 Richard Kenyon, Scott Sheffield: Dimers, Tilings and Treesmath.CO/0310193 MohammadTaghi Hajiaghayi, Gregory B. Sorkin: The Satisfiability Threshold of Random 3-SAT Is at Least 3.52math.CO/0310188 Christian Krattenthaler: Descending plane partitions and rhombus tilings of a hexagon with triangular holemath.CO/0310157 David Callan: Counting stabilized-interval-free permutationsmath.CO/0310144 Lucian Ilie, Jeffrey Shallit: A Generalization of Repetition Thresholdmath.CO/0310142 Adam Bliss, Francis Edward Su: Lower bounds for simplicial covers and triangulations of cubesCV: Complex Variables---------------------math.CV/0310239 Armen Edigarian, Jan Wiegerinck: Determination of the pluripolar hull of graphs of certain holomorphic functionsmath.CV/0310204 A. B. J. Kuijlaars, K. T-R McLaughlin: A Riemann-Hilbert problem for biorthogonal polynomialsmath.CV/0310174 Alexander P. Schuster, Dror Varolin: Interpolation and Sampling on Riemann SurfacesDG: Differential Geometry-------------------------math.DG/0310251 Claudio Gorodski, Fabio Podesta: Homogeneity rank of real representations of compact Lie groupsmath.DG/0310246 J.Grabowski, D.Iglesias, J.C.Marrero, E.Padron, P.Urbanski: Poisson-Jacobi reduction of homogeneous tensorsmath.DG/0310243 David M. J. Calderbank, Liana David, Paul Gauduchon: The Guillemin formula and Kaehler metrics on toric symplectic manifoldsmath.DG/0310242 Tobias H. Colding, Bruce Kleiner: Singularity structure in mean curvature flow of mean convex setsmath.DG/0310226 N. Blazic, P. Gilkey, S. Nikcevic, U. Simon: The spectral geometry of the Weyl conformal tensormath.DG/0310202 Janusz Grabowski, Norbert Poncin: Lie algebraic characterization of manifoldsmath.DG/0310198 Albert Chau, Luen-Fai Tam: Gradient Kahler-Ricci solitons and a uniformization conjecturemath.DG/0310183 M. Sadowski, A.Szczepanski: Flat manifolds, harmonic spinors, and eta invariantsmath.DG/0310180 N. Blazic, S. Vukmirovic: Classification of four-dimensional Lie algebras admitting a para-hypercomplex structuremath.DG/0310176 Baris Coskunuzer: Minimal Planes in Hyperbolic Spacemath.DG/0310154 Dan Burghelea, Stefan Haller: A Riemannian invariant, Euler structures and some topological applicationsDS: Dynamical Systems---------------------math.DS/0310235 Alexander Gorodnik: Uniform distribution of orbits of lattices on spaces of framesmath.DS/0310233 Alexander Gorodnik: Lattice action on the boundary of SL(n,R)math.DS/0310231 Alexander Gorodnik: Oppenheim conjecture for pairs consisting of a linear form and a quadratic formmath.DS/0310230 Alexander Gorodnik: On Oppenheim-type conjecture for systems of quadratic formsmath.DS/0310207 Alexander Arbieto, Carlos Matheus: A Pasting Lemma I: the case of vector fieldsmath.DS/0310182 Dario Bambusi, Massimiliano Berti: A Birkhoff--Lewis Type Theorem for Some Hamiltonian PdesFA: Functional Analysis-----------------------math.FA/0310225 Ralf Meyer: Bornological versus topological analysis in metrizable spacesquant-ph/0310075 Joseph M. Renes, Robin Blume-Kohout, A. J. Scott, Carlton M. Caves: Symmetric Informationally Complete Quantum Measurementsmath.FA/0310181 W. J. Bland, J. F. Feinstein: Completions of normed algebras of differentiable functionsmath.FA/0310179 J. F. Feinstein: A counterexample to a conjecture of S.E. Morrismath.FA/0310172 I. V. Krasovsky: Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circlemath.FA/0310161 Eric Weber: Orthogonal Frames of Translatesmath.FA/0310151 Volker Runde: A Connes-amenable, dual Banach algebra need not have a normal, virtual diagonalmath.FA/0310147 Daniel Pellegrino: A note on scalar-valued absolutely summing homogeneous polynomials between Banach spacesGR: Group Theory----------------math.GR/0310200 Peter Mueller: Permutation groups of prime degree, a quick proof of Burnside's theoremmath.GR/0310170 Michael K. Kinyon, J.D. Phillips: Axioms for trimedial quasigroupsmath.GR/0310169 Daniel Goldstein, Robert M. Guralnick, I. M. Isaacs: Inequalities for finite group permutation modulesGT: Geometric Topology----------------------math.GT/0310218 Vladimir Turaev: Virtual stringsmath.GT/0310216 Tomotada Ohtsuki: A cabling formula for the 2-loop polynomial of knotsmath.GT/0310203 Stavros Garoufalidis: Does the Jones polynomial determine the signature of a knot?math.GT/0310165 Michel Deza, Mathieu Dutour, Mikhail Shtogrin: On simplicial and cubical complexes with short linksmath.GT/0310164 Peter Kronheimer, Tomasz Mrowka, Peter Ozsvath, Zoltan Szabo: Monopoles and lens space surgeriesHO: History and Overview------------------------math.HO/0310152 Volker Runde: Why I don't like pure mathematicsKT: K-Theory and Homology-------------------------math.KT/0310221 Bernhard Keller: Hochschild cohomology and derived Picard groupsmath.KT/0310156 A. Alves, P. Ontaneda: A formula for the Whitehead group of a three-dimansional crystallographic groupLO: Logic---------math.LO/0310175 Ladislav J. Kohout: Defining Homomorphisms and Other Generalized Morphisms of Fuzzy Relations in Monoidal Fuzzy Logics by Means of BK-ProductsMG: Metric Geometry-------------------math.MG/0310220 Pedro Ontaneda: Some Remarks on the Geodesic Completeness of Compact Nonpositively Curved Spacesq-bio.BM/0309008 Chi Ming Yang: The bi-pyramidal nature, the Lucas series in the genetic code and their relation to aminoacyl-tRNA synthetasesMP: Mathematical Physics------------------------math-ph/0310030 A. D. Alhaidari: Solution of the Dirac equation with position-dependent mass in the Coulomb fieldmath-ph/0310029 V. A. Geyler, P. Stovicek: On the Pauli operator for the Aharonov-Bohm effect with two solenoidsmath-ph/0310028 Reflection Algebra Symmetrymath-ph/0310027 Tom Michoel, Bruno Nachtergaele: Central limit theorems for the large-spin asymptotics of quantum spinshep-th/0310144 D. V. Vassilevich: Non-commutative heat kernelmath-ph/0310026 Nicolae Cotfas: Icosahedral multi-component model setsmath-ph/0310025 Leonardo F. Guidi, Domingos H. U. Marchetti: Convergence of Mayer Series via Cauchy-Kowalewski Majorant Methods with Applicationhep-th/0310134 Sergiu I. Vacaru, Evghenii Gaburov: Noncommutative Symmetries and Stability of Black Ellipsoids in Metric--Affine and String Gravityhep-th/0310133 Sergiu I. Vacaru, Evehnii Gaburov, Denis Gontsa: A Method of Constructing Off--Diagonal Solutions in Metric--Affine and String Gravityhep-th/0310132 Sergiu I. Vacaru: Generalized Finsler Geometry in Einstein, String and Metric--Affine Gravitymath-ph/0310024 Bozhidar Z. Iliev: Relative mechanical quantities in spaces with a transport along pathsmath-ph/0310023 P. Garbaczewski, W. Karwowski: Canonical Quantization and Impenetrable Barriersmath-ph/0310022 maurice de Gosson, Serge de Gosson: The Maslov Indices of Hamiltonian Periodic Orbitsgr-qc/0310055 Nahomi Kan, Kiyoshi Shiraishi: Induced Gravity from Theory Spacequant-ph/0303176 Ronald Benjamin, Colin Benjamin: Quantum spin pumping with adiabatically modulated magnetic barrier'snlin.SI/0309071 M. Biki, A. Doliwa: Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curvemath-ph/0310021 M. Disertori, V. Rivasseau: Random Matrices and the Anderson Modelmath-ph/0310020 Sergei Buyalo: Metrics of nonpositive curvature on graph-manifolds and electromagnetic fields on graphsmath-ph/0310019 G.S.Asanov: Finsleroid-Space Supplemented by Anglemath-ph/0310018 A. D. Alhaidari: Enlarging the class of exactly solvable nonrelativistic problemsmath-ph/0310017 Daniel Lenz, Peter Stollmann: An ergodic theorem for Delone dynamical systems and existence of the integrated density of statesmath-ph/0310016 Jan Fiala, Peter Kleban: Thermodynamics of the Farey Fraction Spin ChainNA: Numerical Analysis----------------------math.NA/0310238 V. Buyarov, J. S. Dehesa, A. Martinez-Finkelshtein, J. Sanchez-Lara: Computation of the entropy of polynomials orthogonal on an intervalNT: Number Theory-----------------math.NT/0310248 Luis Dieulefait: Galois characterization of Endoscopy for rational Siegel modular formsmath.NT/0310240 Jens Marklof: Holomorphic almost modular formsmath.NT/0310224 Kirsten Eisentraeger: Integrality at a prime for global fields and the perfect closure of global fields of characteristic p>2math.NT/0310205 Joseph Cohen: Primitive roots in quadratic fieldsmath.NT/0310201 Jan H. Bruinier, Jose I. Burgos Gil, Ulf Kuehn: Borcherds products and arithmetic intersection theory on Hilbert modular surfacesmath.NT/0310196 Atsushi Moriwaki: The modular height of an abelian variety and its finiteness propertymath.NT/0310177 Amnon Besser, Hidekazu Furusho: The double shuffle relations for p-adic multiple zeta valuesmath.NT/0310163 Dinakar Ramakrishnan, Song Wang: A cuspidality criterion for the functorial product on GL(2) x GL(3), with a cohomological applicationmath.NT/0310162 Dinakar Ramakrishnan: Algebraic cycles on Hilbert modular fourfolds and poles of L-functionsmath.NT/0310159 Steven J. Miller: 1- and 2-Level Densities for Rational Families of Elliptic Curves: Evidence for the Underlying Group SymmetriesOA: Operator Algebras---------------------math.OA/0310214 Frederic Latremoliere: Approximation of Quantum Tori by Finite Quantum Tori for the Quantum Gromov-Hausdorff Distancemath.OA/0310211 Sorin Popa, Roman Sasyk: On the Cohomology of Actions of Groups by Bernoulli Shiftsmath.OA/0310209 Jeffrey L. Boersema: The Range of United K-TheoryOC: Optimization and Control----------------------------math.OC/0310194 Bernd Sturmfels: Algebraic Recipes for Integer Programmingmath.OC/0310149 J.M. Mu~noz Porras, J.A. Dominguez Perez, J.I. Iglesias Curto, G. Serrano Sotelo: Convolutional Goppa Codesmath.OC/0310148 J.A. Dominguez Perez, J.M. Mu~noz Porras, G. Serrano Sotelo: Convolutional Codes of Goppa TypePR: Probability Theory----------------------math.PR/0310244 Aleksander M. Iksanov: Elementary fixed points of the BRW smoothing transforms with infinite number of summandsmath.PR/0310232 Ashish Goel, Sanatan Rai, Bhaskar Krishnamachari: Sharp thresholds for monotone properties in random geometric graphsmath.PR/0310229 D.A. Dawson, L.G. Gorostiza, A. Wakolbinger: Hierarchical equilibria of branching populationsmath.PR/0310223 Vladislav Kargin: Consistent Estimation of Pricing Kernels from Noisy Price Datamath.PR/0310217 Ostap Hryniv, Yvan Velenik: Universality of Critical Behaviour in a Class of Recurrent Random Walksmath.PR/0310210 Oded Schramm, Scott Sheffield: The harmonic explorer and its convergence to SLE(4)physics/0309031 S.I. Bityukov, N.V. Krasnikov: The probability of making a correct decision in hypotheses testing as estimator of quality of planned experimentsQA: Quantum Algebra-------------------math.QA/0310250 Lam: Ribbon Tableaux and the Heisenberg Algebramath.QA/0310249 Charles F. Dunkl: Singular Polynomials for the Symmetric Group and Krawtchouk Polynomialsmath.QA/0310167 EJ Beggs, Tomasz Brzezinski: The van Est spectral sequence for Hopf algebrasmath.QA/0310143 Dongseok Kim: Graphical Calculus on Representations of Quantum Lie AlgebrasRA: Rings and Algebras----------------------math.RA/0310208 L. A. Simonian: Structure Theory for One Class of Locally Finite Lie AlgebrasRT: Representation Theory-------------------------math.RT/0310247 Rachel Ollivier: Correspondance de Langlands numerique pour la $bar{bf F}_p$-algebre de Hecke du pro-$p$-Iwahori de $GL_n(F)$math.RT/0310191 Gabriele Nebe: On the radical idealizer chain of symmetric ordersmath.RT/0310187 Iain Gordon, S.Paul Smith: Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularitiesmath.RT/0310171 Yuriy A. Drozd: Derived tame and derived wild algebrasSG: Symplectic Geometry-----------------------math.SG/0310222 Lisa Jeffrey, Mikhail Kogan: Localization theorems by symplectic cutsmath.SG/0310213 Anna Gori, Fabio Podesta': A note on the moment map on compact Kahler manifoldsnlin.SI/0310012 A. Sergyeyev: A simple way of making a Hamiltonian system into a bi-Hamiltonian onemath.SG/0310178 Anna Gori, Fabio Podesta': Two-orbit Kahler manifolds and Morse Theorymath.SG/0310166 Manabu Akaho: Floer's chain complexes for Lagrangian submanifolds in symplectic manifolds with concave endsmath.SG/0310141 Tamas Hausel, Nicholas Proudfoot: Abelianization for hyperkahler quotientsSP: Spectral Theory-------------------math.SP/0310245 T. Christiansen: Asymptotics for a resonance-counting function for potential scattering on cylinders / Greg Kuperberg (UC Davis) / / Visit the Math ArXiv Front at http://front.math.ucdavis.edu/ / * All the math that's fit to e-print *=== === Subject: : Wierd Hilbert space problemEpigone-thread: kouswixglyOriginator: israel@math.ubc.ca (Robert Israel)I would appreciate any comment/reference for the following problem:On a Hilbert space we are given a closed densely defined operator x,positive selfadjoint non degenerate operator Q. We know that there aremany (I will explain what I mean by many below) bounded operators ysuch thata) Q^{-1}yQ extends to a bounded operator,b) xy extends to a bounded operator,c) Q^{-1}xyQ extends to a bounded operator.I would like to know if I can expect (perhaps there are someconditions for this) that there exist many bounded operators z suchthata') QzQ^{-1} extends to a bounded operator,b') x^*z extends to a bounded operator,c') Qx^*zQ^{-1} extends to a bounded operator. In the original problem the operators y and z were to be chosen fromsome fairly arbitrary non degenerate C*-subalgebra of B(H), so bymany I mean for example that among them there is a net stronglyconvergent to the identity operator and they are not compact.I'd appreciate any remarksPiotr Soltan ===Conference Announcement:Centre de recherches math.8ematiquesMontr.8eal, CanadaThe following mathematicians have been invited to speak at this meeting:Paul Balmer (ETH, Z.9frich)Spencer Bloch (Chicago)David Burns (King's College, London)Jean-Louis Colliot-Th.8el.8fne (Paris Sud)Alexander Goncharov (Brown)Kazuya Kato (Kyoto)Marc Levine (Northeastern)Alexander Merkurjev (UCLA)Fabien Morel (Paris VII)Daniel Quillen (Oxford)Markus Rost (Bielefeld)Christophe Soul.8e (IHES)Andrei Suslin (Northwestern)Burt Totaro (Cambridge)Vladimir Voevodsky (IAS)Mark Walker (Nebraska)This conference has been funded by grants from the CRM and NationalScience Foundation. Some travel support will be available for graduatestudents and junior researchers.Web pages for this conference will be maintained athttp://www.crm.umontreal.ca. Updated information will be posted atthese sites, as it becomes available.The organizers for this meeting are:Rick Jardine, jardine@uwo.caManfred Kolster, kolster@mcmaster.caDan Grayson, dan@math.uiuc.eduEric Friedlander, eric@math.nwu.edu=== === Subject: : relative compactnessOriginator: israel@math.ubc.ca (Robert Israel)Any help with the following wouldbe greatly appreciated.Suppose {f_n} is a sequence of L^1 functions for which:1. Lim Sup_{n -> infty} Variation_[0,1](f_n) < Constant2. ||f_n|| < Constant Then {f_n} is relatively compact in L^1.Elisha=== === Subject: : Relative compactnessEpigone-thread: blandswaikrerOriginator: israel@math.ubc.ca (Robert Israel)This is indeed true; it is the content of a theorem of Helly. SeeNatanson, Theory of Functions of a Real Variable, Section 8.4. Thereit is proved that under the stated assumptions, every subsequence hasanother one converging pointwise. But then by uniform boundedness andLebesgues theorem, L_1-convergence follows. Best regards, Peter Flor (Graz, Austria).=== === Subject: : Moduli Space of smooth K3 surfacesOriginator: israel@math.ubc.ca (Robert Israel) I have heard that the moduli space of smooth K3 surfaces is thelocally symmetric space $Gammabackslash G/K$, where $G$ is theconnected component of $mathrm{SO}(2,19)$, $K$ its maximal compactsubgroup, and $Gamma$ the full modular group. I cannot find thisfact stated clearly in the standard references (Shafarevitch's book onsurfaces, Asterisque, Barth-Peters-van den Ven). However, it may bein there in some form: I have difficulty reading this literaturebecause my primary area is algebraic groups. If anyone could give mea simple description of the moduli space (or tell me none exists) I'dbe most thankful.-Eliot=== === Subject: : series of Laguerre polynomialsOriginator: israel@math.ubc.ca (Robert Israel)Are there any known results regarding differentiability of seriesof Laguerre polynomials with power-like decreasing coefficientslike$sum_{n=1}^infty 1/(n^p) e^{-x/2} L_n(x)$as a function of $p$?Something analogous to differentiability of Fourier series as a functionof rate of decrease of coefficients seems definitely to be going on. Howeverthis does not seem to be a standard point in special functions texts.Help and references most welcome.Jorge Buescu.=== === Subject: : Paper published by Algebraic and Geometric TopologyOriginator: israel@math.ubc.ca (Robert Israel)The following paper has been published:Algebraic and Geometric TopologyURL:http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3- 40.abs.htmlTitle:Global structure of the mod two symmetric algebra, H^*(BO;F_2), over the Steenrod AlgebraAuthor(s):David J. Pengelley, Frank WilliamsAbstract:The algebra S of symmetric invariants over the field with two elements is an unstable algebra over the Steenrod algebra A, and is isomorphic to the mod two cohomology of BO, the classifying space for vector bundles. We provide a minimal presentation for S in the category of unstable A-algebras, i.e., minimal generators and minimal relations. A-algebras associated with the cohomology of related spaces, such asthe BO(2^m-1) that classify finite dimensional vector bundles, and theconnected covers of BO. The presentations then show that certain ofthese unstable A-algebras coalesce to produce the Dickson algebras ofgeneral linear group invariants, and we speculate about possiblerelated topological realizability. Our methods also produce a related simple minimal A-modulepresentation of the cohomology of infinite dimensional real projectivespace, with filtered quotients the unstable modules F(2^p-1)/Abar{A}_{p-2}, as described in an independent appendix.Secondary: 13A50, 16W22, 16W50, 55R40, 55S05, 55S10Keywords:Symmetric algebra, Steenrod algebra, unstable algebra, classifying space, Dickson algebra, BO, real projective space.Author(s) address(es):New Mexico State University Las Cruces, NM 88003, USAEmail: davidp@nmsu.edu, frank@nmsu.edu=== === Subject: : S-integer points on elliptic curvesOriginator: israel@math.ubc.ca (Robert Israel)Dear all,(1) As far as I know, the best explicit bound on the number ofS-integers on an elliptic curve over Q is that of Hajdu and Herendi(MR1615334). Is there a similar bound for the number of S-integers onan elliptic curve over a number field K?Unfortunately, the bound by Bugeaud (MR1458749) will not do, as thedependence on the size of S is not fully stated in it.(2) I understand that it is easier to give a bound for the size of allinteger points but one than to give a bound for the size of allinteger points, period.Are there any solutions to the first of the two problems with the caseof S-integers and/or base field other than Q fully worked out?Best,Harald=== === Subject: : S-integral points on curves -- correctionOriginator: israel@math.ubc.ca (Robert Israel)I said:(1) As far as I know, the best explicit bound on the number ofS-integers on an elliptic curve over Q is that of Hajdu and Herendi(MR1615334). Is there a similar bound for the number of S-integers onan elliptic curve over a number field K?Unfortunately, the bound by Bugeaud (MR1458749) will not do, as thedependence on the size of S is not fully stated in it.I meant:(1) As far as I know, the best explicit bound on the size of theS-integers on an elliptic curve over Q is that of Hajdu and Herendi(MR1615334). Is there a similar bound for the size of the S-integersonan elliptic curve over a number field K?Unfortunately, the bound by Bugeaud (MR1458749) will not do, as thedependence on the size of S is not fully stated in it.--What I am asking for is not a bound on the number of S-integer points,but on their maximal height. A bound on the greatest height of allS-integer points but one (or two, or C) will do.Harald=== === Subject: : This week in the mathematics arXiv (20 Oct - 24 Oct)Originator: israel@math.ubc.ca (Robert Israel)Here are this week's titles in the mathematics arXiv, available at: http://front.math.ucdavis.edu/ http://front.math.ucdavis.edu/submissionsThis week in the mathematics arXiv may be freely redistributedwith attribution and without modification.Titles in the mathematics arXiv (20 Oct - 24 Oct)-------------------------------------------------AC: Commutative Algebra-----------------------math.AC/0310344 P. Charters, S. Loepp: Semilocal Generic Formal Fibersmath.AC/0310313 Anargyros Katsabekis, Marcel Morales, Apostolos Thoma: Stanley-Reisner rings and the radicals of lattice idealsmath.AC/0310260 Daniel Ferrand: Monogenous algebras. Back to KroneckerAG: Algebraic Geometry----------------------math.AG/0310376 A. Alzati, A. Tortora: Monomial invariants in codimension twomath.AG/0310368 Yuriy A. Drozd: Vector bundles and Cohen-Macaulay modulesmath.AG/0310361 Sergey Lysenko: Whittaker functors for GSp_4math.AG/0310354 Paul Hacking: Compact moduli of plane curvesmath.AG/0310353 Marie-Am' elie Bertin: Exemples de surfaces canoniques de ${mathbb P}^6$ et de solides de Calabi-Yau de ${mathbb P}^7$math.AG/0310342 I. Dolgachev, B. van Geemen, S. Kondo: A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfacesmath.AG/0310336 Howard M Thompson: Comments on toric varietiesmath.AG/0310329 Misha Verbitsky: Coherent sheaves on generic compact torimath.AG/0310325 Frederic Mangolte: Real algebraic morphisms on 2-dimensional conic bundlesmath.AG/0310299 Ajneet Dhillon: On the Cohomology of Moduli of Vector Bundlesmath.AG/0310288 Pablo Ares-Gastesi, Indranil Biswas: The Jacobian of a nonorientable Klein surfacemath.AG/0310283 Jian Zhou: Localizations on Moduli Spaces and Free Field Realizations of Feynman Rulesmath.AG/0310282 Jian Zhou: A Conjecture on Hodge Integralsmath.AG/0310272 Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou: A Formula of Two-Partition Hodge Integralsmath.AG/0310270 Aleksandr V. Pukhlikov: Birationally rigid varieties with a pencil of Fano double covers. Imath.AG/0310268 Aleksandr V. Pukhlikov: Birationally rigid iterated Fano double coversmath.AG/0310267 Aleksandr V. Pukhlikov: Birationally rigid Fano varietiesmath.AG/0310254 Fedor Bogomolov, Yuri Tschinkel: Rational curves and points on K3 surfacesAP: Analysis of PDEs--------------------math.AP/0310374 Mariapia Palombaro, Marcello Ponsiglione: The three divergence free matrix fields problemgr-qc/0310104 Makoto Narita: Global existence problem in $T^3$-Gowdy symmetric IIB superstring cosmologynlin.SI/0310032 A. Sergyeyev: On a class of inhomogeneous extensions for integrable evolution systemsmath.AP/0310309 Duyckaerts: A Singular Critical Potential For The Schrodinger operatormath.AP/0310274 Antonio Sa Barreto, Jared Wunsch: The radiation field is a Fourier integral operatormath.AP/0310271 Samuil D. Eidelman, Anatoly N. Kochubei: Cauchy Problem for Fractional Diffusion EquationsCA: Classical Analysis and ODEs-------------------------------math.CA/0310367 Camil Muscalu, Jill Pipher, Terence Tao, Christoph Thiele: Bi-parameter paraproductsmath.CA/0310349 Alex Iosevich, Mihail N. Kolountzakis: A Weyl type formula for Fourier spectra and framesmath.CA/0310348 Michael T Lacey, Erin Terwilleger: Third Order Commutator and Product BMOmath.CA/0310346 Michael T Lacey, Xiaochun Li: Maximal Theorems for the Directional Hilbert Transform on the Planemath.CA/0310345 Michael T Lacey, Xiaochun Li: On the Hilbert Transform and $C^{1+ze}$ Families of Linesmath.CA/0310294 Yuxia Wang, Xiyu Liu: Positive solutions of singular boundary value problem of negative exponent Emden--Fowler equationmath.CA/0310290 H. S. Ozarslan: A note on absolute summability factorsmath.CA/0310286 A. K. Sahoo: On the absolute N_{q_{alpha}}-summability of rth derived conjugate seriesmath.CA/0310278 J. Baik, T. Kriecherbauer, K. T.-R. McLaughlin, P. D. Miller: Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensemblesmath.CA/0310264 Leszek Gasinski, Nikolaos S. Papageorgiou: Nonlinear second-order multivalued boundary value problemsCO: Combinatorics-----------------math.CO/0310377 Peter Mani-Levitska, Sinisa Vrecica, Rade Zivaljevic: Topology and Combinatorics of Partitions of Masses by Hyperplanesmath.CO/0310370 Cedric lecouvey: Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C_{n}$math.CO/0310341 Claus Mokler: The maximal chains of the extended Bruhat orders on the (W x W)-orbits of an infinite Renner monoidmath.CO/0310339 Peter Csorba, Carsten Lange, Ingo Schurr, Arnold Wassmer: Box complexes, neighborhood complexes, and the chromatic numbermath.CO/0310332 Jun-Jie Pan, Gerard J. Chang: Isometric path numbers of graphsmath.CO/0310327 Art M. Duval: A common recursion for Laplacians of matroids and shifted simplicial complexesmath.CO/0310326 Richard Kenyon: An introduction to the dimer modelmath.CO/0310322 Arjeh M. Cohen, E. J. Postma: Covers of Point-Hyperplane Graphsmath.CO/0310321 Maximillian Murphy, Vincent Vatter: Profile classes and partial well-order for permutationsmath.CO/0310310 Frederic Patras, Manfred Schocker: Twisted descent algebras and the Solomon-Tits algebramath.CO/0310301 Mike Zabrocki: A bijective proof of an unusual symmetric group generating functionmath.CO/0310269 Alexander Schwartz, Guenter M. Ziegler: Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifoldsmath.CO/0310255 Tyrrell B. McAllister, Kevin M. Woods: The Minimum Period of the Ehrhart Quasi-polynomial of a Rational PolytopeCT: Category Theory-------------------math.CT/0310337 Kenji Lef`evre-Hasegawa: Sur les A-infini cat'egoriesCV: Complex Variables---------------------math.CV/0310371 Nordine Mir: Analytic regularity of CR maps into spheresmath.CV/0310291 S. J. Bhatt, H. V. Dedania: Beurling algebra analogues of the classical theorems of Wiener and Levy on absolutely convergent Fourier seriesDG: Differential Geometry-------------------------math.DG/0310375 Michel Cahen, Simone Gutt, Lorenz Schwachhoefer: Construction of Ricci-type connections by reduction and inductionmath.DG/0310364 D. Borthwick, C. Judge, P.A. Perry: Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfacesmath.DG/0310363 Santiago R. Simanca: Heat Flows for Extremal Kahler Metricshep-th/0310168 Strobl: Gravity from Lie algebroid morphismsmath.DG/0310330 Viktor L. Ginzburg: The Weinstein conjecture and the theorems of nearby and almost existencemath.DG/0310311 David M. J. Calderbank, Tammo Diemer, Vladimir Soucek: Ricci-corrected derivatives and invariant differential operatorsmath.DG/0310308 Franz W. Kamber, Peter W. Michor: Completing Lie algebra actions to Lie group actionsmath.DG/0310307 K.-D. Kirchberg: Curvature dependent lower bounds for the first eigenvalue of the Dirac operatormath.DG/0310302 Gang Tian, Jeff Viaclovsky: Bach-flat asymptotically locally Euclidean metricsmath.DG/0310295 Janusz Grabowski: Isomorphisms of algebras of smooth functions revisitedmath.DG/0310293 Mohamed Boucetta: On the Riemann-Lie algebras and Riemann-Poisson Lie groupsmath.DG/0310281 Jie Qing: On the uniqueness of the AdS space-time in higher dimensionsDS: Dynamical Systems---------------------math.DS/0310331 P'eter B'alint, Serge Troubetzkoy: Ergodicity of two hard balls in integrable polygonsmath.DS/0310317 Xavier Mela, Karl Petersen: Dynamical properties of the Pascal adic transformationmath.DS/0310300 Rodrigo A. P'erez: Quadratic polynomials and combinatorics of the principal nestFA: Functional Analysis-----------------------math.FA/0310343 Dale Alspach, Simei Tong: Subspaces of $L_p$, p>2, with unconditional basis have equivalent partition and weight normsmath.FA/0310333 Hartmut Fuehr: Hausdorff-Young inequalities for nonunimodular groupsmath.FA/0310263 Ronald G. Douglas, Gadadhar Misra: Equivalence of quotient Hilbert modulesGM: General Mathematics-----------------------math.GM/0310351 Robert A. Herrmann: Nonstandard Analysis - A Simplified ApproachGN: General Topology--------------------math.GN/0310292 Duran Turkoglu, Brian Fisher: Fixed point of multivalued mapping in uniform spacesGR: Group Theory----------------math.GR/0310373 Sergei Evdokimov, Ilia Ponomarenko: A new look at the Burnside-Schur theoremmath.GR/0310356 Indira Chatterji, Kim Ruane: Some geometric groups with rapid decaymath.GR/0310335 Jean-Camille Birget: Circuits, coNP-completeness, and the groups of Richard Thompsonmath.GR/0310315 Luis Paris: Artin groups of spherical type up to isomorphismmath.GR/0310257 Emina Alibegovic: A Combination Theorem for Relatively Hyperbolic GroupsGT: Geometric Topology----------------------math.GT/0310366 Gad Naot: On Chern-Simons theory with an inhomogeneous gauge groupmath.GT/0310365 Gregory Buck, Jonathan Simon: Total Curvature and Packing of Knotsmath.GT/0310328 Matthew Horak: Mapping class subgroups of Out(F_n)math.GT/0310304 Rob Schneiderman: Simple Whitney towers, half-gropes and the Arf invariant of a knotmath.GT/0310303 Rob Schneiderman: Whitney towers and gropes in 4--manifoldsmath.GT/0310280 Joan S. Birman, William W. Menasco: Stabilization in the braid groups-II:Transversal simplicity of knotsmath.GT/0310279 Joan S. Birman, William W. Menasco: Stabilization in the braid groups-I:MTWSmath.GT/0310277 Frank Quinn: Problems on homology manifoldsmath.GT/0310273 Charles Frohman, Joanna Kania-Bartoszynska: The Quantum Content of the Normal Surfaces in a Three-Manifoldmath.GT/0310266 Tobias Ekholm: Regular homotopy and total curvatureMP: Mathematical Physics------------------------quant-ph/0310116 Elena R. Loubenets: On separability of quantum states and the violation of Bell-type inequalitiesmath-ph/0310051 V. V. Varlamov: Maxwell field on the Poincare groupmath-ph/0310050 L.I. Petrova: Exterior and evolutionary skew-symmetric differential forms and their role in mathematical physicsmath-ph/0310049 Victor I. Lahno, Olena V. Magda: The group classification of one class of nonlinear wave wquationsmath-ph/0310048 Peter A. Becker: On the integration of products of Whittaker functions with respect to the second indexmath-ph/0310047 Abhay Parvate, A. D. Gangal: Calculus on fractal subsets of real line - I: formulationmath-ph/0310046 G.Sardanashvily: Jets of modules in noncommutative geometrymath-ph/0310045 Victor G. Kac, Alexei Rudakov: Representations of the exceptional Lie superalgebra E(3,6) III: Classification of singular vectorshep-th/0310209 Xavier Bekaert, Nicolas Boulanger: Mixed symmetry gauge fields in a flat backgroundquant-ph/0310128 Ludwik Turko: Finite Size Universe or Perfect Squash Problemphysics/0305121 Patrick Ilg, Iliya V. Karlin, Alexander N. Gorban: Generalized Additive Entropies in Fully Developed Turbulencenlin.SI/0310028 Gregorio Falqui: Poisson Pencils, Integrability, and Separation of Variablesmath-ph/0310044 E.H.El Kinani: Between Quantum Virasoro Algebra ${mathcal{L}}_{c}$ and Generalized Clifford Algebrasmath-ph/0310043 Fumio Hiroshima, herbert Spohn: Mass renormalization of nonrelativistic QEDmath-ph/0310042 Daniel Arnaudon, Jean Avan, Nicolas Crampe, Anastasia Doikou, Luc Frappat, Eric Ragoucy: Bethe Ansatz equations and exact S matrices for the osp(M|2n) open super spin chaincond-mat/0310490 Kenzo Ogure, Yoshiyuki Kabashima: Exact Analytic Continuation with Respect to the Replica Number in the Discrete Random Energy Model of Finite System Sizecond-mat/0310356 Silvio Franz, Fabio Lucio Toninelli: The Kac limit for finite-range spin glassesmath-ph/0310041 Roger Haydock, C.M.M. Nex, Geoffrey Wexler: Vector Continued Fractions using a Generalised Inversemath-ph/0310040 J. Bruening, V. Geyler, I. Lobanov: Spectral properties of a short-range impurity in a quantum dotmath-ph/0310039 Roman O. Popovych, Nataliya O. Ivanova, Homayoon Eshraghi: Lie Symmetries of (1+1)-Dimensional Cubic Schrodinger Equation with Potentialmath-ph/0310038 C. Quesne: Disentangling q-exponentials: A general approachcond-mat/0310214 H.-J. Stoeckmann: The Calogero-Moser equation system and the ensemble average in the Gaussian ensemblesnlin.SI/0310010 via Weyl-Moyal like deformationsmath-ph/0310037 L. Fatibene, M. Ferraris, M. Francaviglia: On-shell symmetriesmath-ph/0310036 Ugo Bruzzo, Francesco Fucito: Superlocalization formulas and supersymmetric Yang-Mills theorieshep-th/0310166 Brendan Z. Foster, Ted Jacobson: Propagating spinors on a tetrahedral spacetime latticehep-th/0308143 Daniel Roggenkamp, Katrin Wendland: Limits and Degenerations of Unitary Conformal Field Theoriescond-mat/0309638 A. N. Gorban, I. V. Karlin: Uniqueness of thermodynamic projector and kinetic basis of molecular individualismmath-ph/0310035 Andre Martin, Tai Tsun Wu: Bound states in two spatial dimensions in the non-central casemath-ph/0310034 Juergen Tolksdorf: On the Semi-Classical Vacuum Structure of the Electroweak Interactionmath-ph/0310033 Werner Kirsch, Simone Warzel: Lifs tails caused by anisotropic decay: the emergence of a quantum-classical regimemath-ph/0310032 Michel Bauer, Denis Bernard: CFTs of SLEs: the radial casemath-ph/0310031 Frederic Klopp, Heribert Zenk: The integrated density of states for an interacting multielectron homogeneous modelmath-ph/0310028 Reflection Algebra Symmetryhep-th/0310149 T. Tate, S. Zelditch: Counter-example to conjectured SU(N) character asymptoticshep-th/0309137 A.A.Belavin, V.A.Belavin, A.V.Litvinov, Y.P.Pugai, Al.B.Zamolodchikov: On correlation functions in the perturbed minimal models M(2,2n+1)gr-qc/0310066 P. Blue, A. Soffer: The wave equation on the Schwarzschild metric II: Local decay for the spin 2 Regge Wheeler equationNT: Number Theory-----------------math.NT/0310372 Anton Deitmar, Werner Hoffmann: Asymptotics of class numbersmath.NT/0310287 Soon-Mo Jung, Jae-Hyeong Bae: Some functional equations originating from number theorymath.NT/0310285 Vivek V Rane: Analogues of Euler and Poisson summation formulaemath.NT/0310276 Carlos D'Andrea, Kevin G. Hare: On the height of the Sylvester Resultantmath.NT/0310275 Laurent Berger, Hanfeng Li, Hui June Zhu: Construction of some families of 2-dimensional crystalline representationsmath.NT/0310259 Jun-ichi Okuda, Kimio Ueno: The Sum Formula of Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equationmath.NT/0310252 David W. Farmer, Robert C. Rhoades: Differentiation Evens Out Zero SpacingsOA: Operator Algebras---------------------math.OA/0310360 Ryan J. Zerr: Minimal Bratteli diagrams and dimension groups of AF C*-algebrasmath.OA/0310340 Francesc Perera, Mikael Rordam: AF-embeddings into C*-algebras of real rank zeromath.OA/0310296 Anthony Narkawicz: The First Cohomology Group H^1(G,M)OC: Optimization and Control----------------------------math.OC/0310358 Luc Miller: The control transmutation method and the cost of fast controlsmath.OC/0310357 Sven Leyffer: Penalty Interior-Point Method Fails to Convergemath.OC/0310316 Carlo Marinelli: The stochastic goodwill problemPR: Probability Theory----------------------math.PR/0310355 M. Abadi, J.-R. Chazottes, F. Redig, E. Verbitskiy: Exponential distribution for the occurrence of rare patterns in Gibbsian random fieldsmath.PR/0310350 Dapeng Zhan: Stochastic Loewner evolution in doubly connected domainsmath.PR/0310347 Jinho Baik: Limiting distribution of last passage percolation modelsmath.PR/0310338 Denes Petz, Julia Reffy: On asymptotics of large Haar distributed unitary matricesmath.PR/0310324 Peter Major: An estimate on the maximum of a nice class of stochastic integralsmath.PR/0310323 Peter Major: An estimate about multiple stochastic integrals with respect to a normalized empirical measuremath.PR/0310306 Dimitrios Cheliotis: Diffusion in random environment and the renewal theoremmath.PR/0310305 Gady Kozma: Excited random walk in three dimensions has positive speedmath.PR/0310298 Olivier Daviaud: Thick points for the Cauchy processmath.PR/0310297 Yuval Peres, Balint Virag: Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal processmath.PR/0310262 B. Rajeev, S. Thangavelu: Probabilistic representations of solutions to the heat equationmath.PR/0310258 Itai Benjamini, David Revelle: Instability of set recurrence and Green's function on groups with the Liouville propertymath.PR/0310256 Yevgeniy Kovchegov, Scott Sheffield: Linear speed large deviations for percolation clustersQA: Quantum Algebra-------------------math.QA/0310320 Boris Shoikhet: An explicit deformation theory of (co)associative bialgebrasmath.QA/0310284 B. Feigin, M. Jimbo, M. Kashiwara, T. Miwa, E. Mukhin, Y. Takeyama: A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra U_q(sl_{2}^)math.QA/0310265 Jean-Michel Vallin: Deformation of finite dimensional C*-quantum groupoidsmath.QA/0310253 Pavel Etingof, Shlomo Gelaki: Finite dimensional quasi-Hopf algebras with radical of codimension 2RA: Rings and Algebras----------------------math.RA/0310369 Rouchdi Bahloul: Generic Grobner bases: application to the constructibility of the set of the algebraic and analytic Grobner fansmath.RA/0310362 N. Cohen, S. De Leo, G. Ducati: Quaternionic commutationsmath.RA/0310319 Gisele Ducati: Comments on the Matrix Representations of QuaternionsRT: Representation Theory-------------------------math.RT/0310352 Viktor I. Bekkert, Yuriy A. Drozd: Tame-wild dichotomy for derived categoriesmath.RT/0310334 Fernando Muro: Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topologymath.RT/0310314 Alistair Savage: Geometric and combinatorial realizations of crystal graphsmath.RT/0310289 Amritanshu Prasad: Reduction theory for a rational function fieldSG: Symplectic Geometry-----------------------math.SG/0310359 Yvette Kosmann-Schwarzbach: Quasi, twisted, and all that... in Poisson geometry and Lie algebroid theorynlin.SI/0310012 A. Sergyeyev: A simple way of making a Hamiltonian system into a bi-Hamiltonian onemath.SG/0310318 Anatol Odzijewicz, Tudor Ratiu: The Banach Poisson geometry of the infinite Toda latticemath.SG/0310312 Anatol Odzijewicz, Tudor Ratiu: Extensions of Banach Lie-Poisson spacesmath.SG/0310261 Rafal Walczak: Torus bundles over surfaces without symplectic structures / Greg Kuperberg (UC Davis) / / Visit the Math ArXiv Front at http://front.math.ucdavis.edu/ / * All the math that's fit to e-print *=== === Subject: : hypergeometric functions with only real zerosOriginator: israel@math.ubc.ca (Robert Israel)Is there a classification of the hypergeometric functions with real parameters that have no complex zeros?[ moderator's note: He means no non-real complex zeros (see the subject line). -ri ]=== === Subject: : Clarify of Yang Mills and Mass Gap Hypothesis ProblemOriginator: israel@math.ubc.ca (Robert Israel)Yang-Mills Field Equation and Mass Gap Hypothesis is one of theproblems which were included in Clay Millennium Problems.After reading description of the problem, I am still not clear (or beconvinced) why there is a problem here. So, can anyone shed some lighton this ? Be specific, two things I do not understand are:A. Physicists had solved Yang-Mills Field Equations for past 40 yearsusing different numerical approximations and renormalization methods. Why do we not consider these solutions as mathematically acceptablesolutions ? Are we looking for an exact and closed form solution forYang-Mills Field Equations ?B. Physicists had solved zero mass issue by using Higgs mechanism andSpontaneous Symmetry Broken, and produced mass that way. Again, why doNOT we consider these method as mathematically acceptable solution orproof ?=== === Subject: : Re: Clarify of Yang Mills and Mass Gap Hypothesis ProblemOriginator: israel@math.ubc.ca (Robert Israel) Yang-Mills Field Equation and Mass Gap Hypothesis is one of the problems which were included in Clay Millennium Problems. A. Physicists had solved Yang-Mills Field Equations for past 40 years using different numerical approximations and renormalization methods. Why do we not consider these solutions as mathematically acceptable solutions ? These are not solutions in the mathematical sense but uncontrolled approximations. Are we looking for an exact and closed form solution for Yang-Mills Field Equations ?No, but for a rigorous definition and proof of key properties of the quantized version of Yang-Mills field theory. At present, it is not even known how to formulate the problem precisely, lackinga mathematical definition of a quantum field theory with a givenLagrangian. B. Physicists had solved zero mass issue by using Higgs mechanism and Spontaneous Symmetry Broken, and produced mass that way. Again, why do NOT we consider these method as mathematically acceptable solution or proof ?Again because the rigorous foundations are missing. All this stuffuses mathematical language but is not mathematics since it is notclearly defined. The millenium problems are problems in mathematics,not in approximate reasoning.But Higgs has nothing to do with the Millenium problem, which isabout pure YM without Higgs fields. Mass has to be be created byquantum effects (zero point energy), while the Higgs mechanism is basically a classical phenomenon.Not even QED is a mathematical object, although it is the theorythat was able to reproduce experiments (Lamb shift) with an accuracy of 1 in 10^12, and with less accuracy already in 1948.But till today no one knows how to formulate the theory in such a way that the relevant objects whose approximations are calculated and compared with experimentare logically well-defined.Yang-Mills was chosen rather than QED since it is believed tohave properties (asymptotic freedom) that make it moreamenable to a rigorous treatment than QED (although this might well be an illusion). Also, it is simpler in some sense === === Subject: : Re: Clarify of Yang Mills and Mass Gap Hypothesis ProblemOriginator: israel@math.ubc.ca (Robert Israel)Yang-Mills Field Equation and Mass Gap Hypothesis is one of theproblems which were included in Clay Millennium Problems.After reading description of the problem, I am still not clear (or beconvinced) why there is a problem here. So, can anyone shed some lighton this ? Be specific, two things I do not understand are:A. Physicists had solved Yang-Mills Field Equations for past 40 yearsusing different numerical approximations and renormalization methods. Why do we not consider these solutions as mathematically acceptablesolutions ? Are we looking for an exact and closed form solution forYang-Mills Field Equations ? The problem is about the Yang-Mills quantum field theory, not the classicalYang-Mills equations. The behavior of the quantum field theory does notseem to be linked to the behavior of the solutions to its corresponding classicalfield equations. B. Physicists had solved zero mass issue by using Higgs mechanism andSpontaneous Symmetry Broken, and produced mass that way. Again, why doNOT we consider these method as mathematically acceptable solution orproof ? The Yang-Mills quantum field theory has no Higgs fields and it is believed thatthe gauge symmetry is not spontaneously broken, so the Higgs mechanism hasnothing to do with the problem.=== === Subject: : question about the riemann hypothesisOriginator: israel@math.ubc.ca (Robert Israel)The Riemann Hypothesis says that pi(n)=Li(n)+O(sqrt(n)log n).If it were true, is it known if it would follow that O(sqrt(n) log n)is the best bound for pi(n)-Li(n)? Certainly O(n^{.5-delta}) fordelta>0 would not be an upper bound, but might there be something inbetween?Craig=== === Subject: : This week in the mathematics arXiv (27 Oct - 31 Oct)Originator: israel@math.ubc.ca (Robert Israel)Here are this week's titles in the mathematics arXiv, available at: http://front.math.ucdavis.edu/ http://front.math.ucdavis.edu/submissionsThis week in the mathematics arXiv may be freely redistributedwith attribution and without modification.Titles in the mathematics arXiv (27 Oct - 31 Oct)-------------------------------------------------AC: Commutative Algebra-----------------------math.AC/0310448 Paul C. Roberts: Cycles and Commutative AlgebraAG: Algebraic Geometry----------------------math.AG/0310479 Paul Hacking: Compact moduli of hyperplane arrangementsmath.AG/0310478 Amit Khetan: Exact matrix formula for the unmixed resultant in three variablesmath.AG/0310467 Sheng-Li Tan, De-Qi Zhang: The determination of integral closures and geometric applicationsmath.AG/0310463 H. Lange, P.E. Newstead: On Clifford's theorem for rank-3 bundlesmath.AG/0310454 Sandra Marcello: Sur des invariants g'eom'etriques associ'es aux automorphismes du plan affinemath.AG/0310442 Y.-P. Lee: Witten's conjecture and Virasoro conjecture for genus up to twomath.AG/0310441 Vladimir Petrov Kostov: On the Deligne-Simpson problem and its weak versionmath.AG/0310431 Jose Seade, Mihai Tibar, Alberto Verjovsky: Global Euler obstruction and polar invariantshep-th/0309255 I.Krichever: Integrable chains on algebraic curvesmath.AG/0310418 Lorenzo Ramero: Local monodromy in non-archimedean analytic geometry -- second releasemath.AG/0310408 Jian Zhou: Hodge Integrals and Integrable Hierarchiesmath.AG/0310405 Najmuddin Fakhruddin: Restriction of sections of abelian schemesmath.AG/0310399 Amnon Yekutieli: On Deformation Quantization in Algebraic Geometrymath.AG/0310390 Priska Jahnke, Ivo Radloff: Fano threefolds with sections in $Omega_V^1(1)$math.AG/0310386 Sinan Unver: Drinfel'd-Ihara Relations for the Crystalline FrobeniusAP: Analysis of PDEs--------------------math.AP/0310477 Cleon S. Barroso: Semilinear Elliptic Equations and Fixed PointsAT: Algebraic Topology----------------------math.AT/0310471 Paul D. ener: Addendum to Coarse homology theoriesmath.AT/0310456 Orin R. Sauvageot: A simplicial model for the Hopf mapmath.AT/0310393 Frederick R. Cohen, Toake Kohno, Miguel A. Xicotencatl: Orbit configuration spaces associated to discrete subgroups of PSL(2,R)CA: Classical Analysis and ODEs-------------------------------math.CA/0310465 Alexander O. Smirnov: Finite-gap solutions of the Fuchsian equationmath.CA/0310443 P. Chladek: The functional formulation of second-order ordinary differential equationsmath.CA/0310436 Raimundas Vidunas: Transformations of some Gauss hypergeometric functionscs.CE/0310043 Jules Sadefo Kamdem: Value-at-Risk and Expected Shortfall for Quadratic portfolio of securities with mixture of elliptic Distributed Risk FactorsCO: Combinatorics-----------------math.CO/0310476 Ben Green: A Szemeredi-type regularity lemma in abelian groupsquant-ph/0310174 A.I. Solomon, P. Blasiak, G. Duchamp, A. Horzela, K.A. Penson: Combinatorial Physics, Normal Order and Model Feynman Graphsmath.CO/0310461 David Callan: A uniformly distributed parameter on a class of lattice pathsmath.CO/0310444 Timothy Prescott, Francis Edward Su: A Constructive Proof of Ky Fan's Generalization of Tucker's Lemmamath.CO/0310429 Michael I Hartley: The Classification of Rank 4 Locally Projective Polytopes and Their Quotientsmath.CO/0310424 J. Haglund, M. Haiman, N. Loehr, J. B. Remmel, A. Ulyanov: A Combinatorial Formula for the Character of the Diagonal Coinvariantsmath.CO/0310423 Brendan D. McKay, Frederique E. Oggier, Gordon F. Royle, N. J. A. Sloane, Ian M. Wanless, Herbert S. Wilf: Acyclic Digraphs and Eigenvalues of (0,1)-Matricesmath.CO/0310411 Raphael Yuster: Packing 4-cycles in Eulerian and bipartite Eulerian tournaments with an application to distances in interchange graphsmath.CO/0310385 Joshua N. Cooper: De Bruijn Cycles for Covering Codesmath.CO/0310379 Alexander Burstein, Sergey Kitaev, Toufik Mansour: Independent sets in certain classes of (almost) regular graphsCV: Complex Variables---------------------math.CV/0310474 S. Ivashkovich, J.-P. Rosay: Hyperbolic distance to submanifolds in an almost-complex manifoldmath.CV/0310440 Filippo Bracci, Pietro Poggi-Corradini: On Valiron's TheoremDG: Differential Geometry-------------------------math.DG/0310469 Stanislav Dubrovskiy: Moduli space of Fedosov structuresmath.DG/0310468 Khadiga Arwini, C.T.J. Dodson: Information geometric neighbourhoods of randomness and geometry of the McKay bivariate gamma 3-manifoldmath.DG/0310464 Virginie Charette, Todd Drumm: Strong marked isospectrality of affine Lorentzian groupsmath.DG/0310462 Adrian Andrada: Hypersymplectic four-dimensional Lie algebrasmath.DG/0310460 Dominic Joyce: Singularities of special Lagrangian submanifoldsmath.DG/0310455 C.T.J. Dodson, G.N. Gis: Second order tangent bundles of infinite dimensional manifoldsmath.DG/0310451 Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky: On the integrability conditions for some structures related to evolution differential equationsmath.DG/0310447 Vladislav V. Goldberg: Maximum rank webs are not necessarily almost Grassmannizablemath.DG/0310446 Maks A. Akivis, Vladislav V. Goldberg: Varieties with Degenerate Gauss Maps with Multiple Foci and Twisted Conesmath.DG/0310445 Henrique Bursztyn, Marius Crainic: Dirac structures, moment maps and quasi-Poisson manifoldsmath.DG/0310439 Peter B. Gilkey, Hong-Jong Kim, JeongHyeong Park: Eigenforms of the Laplacian for Riemannian V-submersionsmath.DG/0310432 Hiroshi Iriyeh, Hajime Ono, Takashi Sakai: Integral Geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in S^2 times S^2math.DG/0310415 Stefan Ivanov, Simeon Zamkovoy: Para-Hermitian and Para-Quaternionic manifoldsmath.DG/0310410 Xiaobo Liu: Genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomologymath.DG/0310409 Xiaobo Liu: Idempotents on the big phase spacemath.DG/0310401 Yuhan Lim: A non-Abelian Seiberg-Witten invariant for integral homology 3-spheresmath.DG/0310397 Andreas Balser: Conditions on the Parameters of a Trinoidmath.DG/0310392 Pascal Redou: Representations of the conformal Lie algebra in the space of tensor densities on the spheremath.DG/0310387 Y.Nikolayevsky: Osserman manifolds of dimension 8math.DG/0310378 Vincent Bonini, Pengzi Miao, Jie Qing: Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic ManifoldsDS: Dynamical Systems---------------------math.DS/0310475 Vincent M Guibout, Daniel J Scheeres: Solving two-point boundary value problems using generating functions: Theory and Applications to optimal control and the study of Hamiltonian dynamical systemsmath.DS/0310402 Dave Witte Morris: Ratner's Theorem on Unipotent Flowsmath.DS/0310391 Sebastien Gouezel: Berry-Esseen theorem and local limit theorem for non uniformly expanding mapsFA: Functional Analysis-----------------------math.FA/0310422 Cleon S. Barroso, Donal O'Regan: Measures of Weak Compactness and Fixed Point Theorymath.FA/0310421 Roger R. Smith, Nico Spronk: Representations of Group Algebras in Spaces of Completely Bounded Mapsmath.FA/0310406 Gong-bao Wamg, Ji-pu Ma: Some Results About Reverses of Cauchy-Schwarz Inequality in Inner Product Spacesmath.FA/0310398 Michael A. Dritschel, Scott McCullough: The failure of rational dilation on a triply connected domainmath.FA/0310396 Daniel M. Pellegrino: On Banach spaces whose duals are isomorphic to l_1math.FA/0310395 Alexander Strohmaier: Analytic Continuation of Resolvent Kernels on noncompact Symmetric SpacesGM: General Mathematics-----------------------math.GM/0310412 Turker Ozsari: Claims On Primorial Primesmath.GM/0310404 Kaida Shi: A Proof that Euler's Constant Gamma is an Irrational NumberGR: Group Theory----------------math.GR/0310466 Sean Cleary, Jennifer Taback: Seesaw words in Thompson's group FGT: Geometric Topology----------------------math.GT/0310473 Ethan D. Bloch: The angle defect for odd-dimensional simplicial manifoldsmath.GT/0310472 A.A.Kadubovsky, A.V.Klimchuk: Classification of the $O$-topologically non-equivalent functions with the help of color chord diagramsmath.GT/0310459 Nafaa Chbili: Quantum invariants and finite group actions on three-manifoldsmath.GT/0310458 Nafaa Chbili: A new criterion for knots with free periodsmath.GT/0310426 David Gillman, Dale Rolfsen: Untwisting Heegaard diagrams in 3-spacemath.GT/0310420 Kai-Uwe Bux: Tangling and Braiding the Chessboard ComplexHO: History and Overview------------------------math.HO/0310449 Dave Auckly: Solving the quartic with a pencilphysics/0310126 Lis Brack-Bernsen, Matthias Brack: Analyzing shell structure from Babylonian and modern timesKT: K-Theory and Homology-------------------------math.KT/0310470 Debashish Goswami, A. O. Kuku: A Complete Formulation of Baum-Conens' Conjecture for the Action of Discrete Quantum GroupsLO: Logic---------math.LO/0310438 Arnold W. Miller: Ultrafilters with property (s)MP: Mathematical Physics------------------------quant-ph/0310150 Gerardo Adesso, Alessio Serafini, Fabrizio Illuminati: Determination of continuous variable entanglement by purity measurementsmath-ph/0310067 G.Giachetta, L.Mangiarotti, G.Sardanashvily: Noether conservation laws in higher-dimensional Chern-Simons theorymath-ph/0310066 A.V.Bratchikov: First class functions in constrained second class systemsmath-ph/0310065 Alonso Botero: Geometric phase and modulus relations for SU(n) matrix elements in the defining representationmath-ph/0310064 Attila Andai: On the monotonicity conjecture for the curvature of the Kubo-Mori metricmath-ph/0310063 Oleg Zubelevich: On analytic solutions to NSE in 3-D torusmath-ph/0310062 C. Klimcik: q-deformation of $zto {az+bover cz+d}$hep-th/0310215 A. A. Bytsenko, V. S. Mendes, A. C. Tort: Forms on vector bundles over compact hyperbolic manifolds and entropy boundsquant-ph/0310159 Shaun N. Mosley: Energy-momentum operators with eigenfunctions localized along a linemath-ph/0310061 Jean-Marie Aubry, St'ephane Jaffard: Random Wavelet Series: Theory and Applicationsmath-ph/0310060 Paolo Amore Hector Montes Lamas: High order analysis of nonlinear periodic differential equationsmath-ph/0309050 Jody Trout: Asymptotic Spectral Measures: Between Quantum Theory and E-theoryhep-th/0307242 M. W. Kalinowski: Scalar fields in the nonsymmetric Kaluza-Klein (Jordan-Thiry) theorygr-qc/0310115 R.Jackiw: 4-Dimensional Einstein Theory Extended by a 3-Dimensional Chern-Simons Termmath-ph/0310059 Tom Kennedy: Expansions for Droplet States in the Ferromagnetic XXZ Heisenberg Chainmath-ph/0310058 Maciej Horowski, Goce Chadzitaskos, Anatol Odzijewicz, Agnieszka Tereszkiewicz: Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomialsmath-ph/0310057 Gert H. M. van der Heijden, Mark A. Peletier, Robert Planqu'e: A consistent treatment of link and writhe for open rods, and their relation to end rotationmath-ph/0310056 Shigeki Matsutani: Reality Conditions of Loop Solitons Genus g: Hyperelliptic am Functionsmath-ph/0310055 G.Honnouvo, M.N. Hounkonnou: Asymptotics of eigenvalues of the operator describing Aharonov-Bohm effect combined with homogeneous magneticfield coupled with a strong $delta$-interaction on a loopmath-ph/0310054 B. H. Lavenda: Three tests of general relativity via Fermat's principle and the phase of Bessel functionsquant-ph/0310147 S. Twareque Ali, R. Roknizadeh, M.K. Tavassoly: Representations of Coherent States in Non-orthogonal Basesmath-ph/0310053 Patrik L. Ferrari, Michael Praehofer, Herbert Spohn: Stochastic Growth in One Dimension and Gaussian Multi-Matrix Modelsmath-ph/0310052 Pierre Grange, Ernst Werner: Fields on Paracompact Manifold and Anomalieshep-th/0310218 C Meusburger, B J Schroers: The quantisation of Poisson structures arising in Chern-Simons theory with gauge group $Gltimes mathfrak{g}^*$NA: Numerical Analysis----------------------math.NA/0310419 S.Tanabe, M.N.Vrahatis: On the solutions of deformed algebraic systemsNT: Number Theory-----------------math.NT/0310434 Sandra Marcello: G'eom'etrie, points rationnels et it'er'es des automorphismes de l'espace affinemath.NT/0310433 Y. Bugeaud, M. M. Dodson, S. Kristensen: Zero-infinity laws in Diophantine approximationmath.NT/0310417 Sandra Marcello: Sur la dynamique p-adique arithm'etique des automorphismes de l'espace affinemath.NT/0310384 Joshua N. Cooper: Survey of Quasirandomness in Number Theorymath.NT/0310383 Joshua N. Cooper: Continued Fractions with Partial Quotients Bounded in Averagemath.NT/0310382 Nathan Ng: The fourth moment of zeta^{'}(rho)math.NT/0310381 Nathan Ng: The distribution of the summatory function of the M{o}bius functionOA: Operator Algebras---------------------math.OA/0310453 Fumio Hiai, Denes Petz, Yoshimichi Ueda: Inequalities related to free entropy derived from random matrix approximationmath.OA/0310452 Debashish Goswami, Lingaraj Sahu, Kalyan B. Sinha: Dilation of a class of quantum dynamical semigroups with unbounded generator on UHF algebrasmath.OA/0310416 Jason Tyler: Every AF-algebra is Morita equivalent to a graph algebramath.OA/0310407 Ilan Hirshberg: On the universal property of Pimsner-Toeplitz C*-algebras and their continuous analoguesmath.OA/0310400 Igor Nikolaev: Hyperbolic geometry, continued fractions and classification of AF C*-algebrasmath.OA/0310389 Santanu Dey: Standard dilations of q-commuting tuplesPR: Probability Theory----------------------math.PR/0310435 Itai Benjamini, Gady Kozma, Laszlo Lovasz, Dan Romik, Gabor Tardos: Waiting for a bat to fly by (in polynomial time)math.PR/0310427 G. Sh. Tsitsiashvili, A. E. Yashin: Anomalous Diffusion with Periodical Initial Conditions on Interval with Reflecting Edgesmath.PR/0310413 G.Molchan, A.Khokhlov: Unilateral Small Deviations for the Integral of Fractional Brownian Motionmath.PR/0310403 Alexander Cox, David Hobson: Skorokhod embeddings, minimality and non-centred target distributionsQA: Quantum Algebra-------------------math.QA/0310430 Seok-Jin Kang, Hyeonmi Lee: Higher level affine crystals and combinatorics of Young wallsmath.QA/0310425 T. Abe, C. Dong, H. Li: Fusion rules for the vertex operator algebras M(1)^+ and V_L^+math.QA/0310394 Joao Faria Martins: On the Analytic Properties of the z-coloured Jones PolynomialRA: Rings and Algebras----------------------math.RA/0310457 S. Launois: Rank t H-primes in quantum matricesmath.RA/0310428 Shouchuan Zhang, Yao-Zhong Zhang: Radicals of Generalized Matrix Rings and Their Applications in Hopf Algebras and Directed Graphsmath.RA/0310388 S. Burciu: The Grothendieck Group of Hopf Algebrasmath.RA/0310380 Greg Marks: Annelidan ringsSG: Symplectic Geometry-----------------------math.SG/0310450 Michael Usher: The Gromov invariant and the Donaldson-Smith standard surface countmath.SG/0310437 Matthew Perlmutter, Miguel Rodriguez-Olmos, M. Esmeralda Sousa-Dias: On the geometry of reduced cotangent bundles at zero momentummath.SG/0310414 Paul Seidel: Homological mirror symmetry for the quartic surface / Greg Kuperberg (UC Davis) / / Visit the Math ArXiv Front at http://front.math.ucdavis.edu/ / * All the math that's fit to e-print *=== === Subject: : rearranging a conditionally convergent integralOriginator: israel@math.ubc.ca (Robert Israel)The limit as b ---> infinity of the integral from 0 to b ofsin(x)/x dx is pi/2, and the integral over the half-line of|sin(x)/x| is infinite. So there should be families{ B_t : t > 0 } of bounded sets such that B_t is a subset ofB_s if t < s, and the union of the members of this parametrizedfamily is the half-line (0,infinity), and the limit ast ---> infinity of the integral over B_t of sin(x)/x dx isyour favorite real number other than pi/2.Is there any such family that is in some sense simple andelegant and readily expressible in closed form? Ideallythe dependence of this family on the prescribe value of thelimit would be similarly simple and elegant. -- Mike Hardy=== === Subject: : powering a conjugacy class in a simple groupEpigone-thread: zeehaydehOriginator: israel@math.ubc.ca (Robert Israel)Dear colleagues,Let S be a finite nonabelian simple group, and C an arbitraryconjugacy class of elements in S, i.e. C={g*x*g^{-1} | g in S} forsome x in S.Consider the set C^2 = { a*b | a,b in C }.1. How one can prove that C lies in C^2?2. What is known about the minimal number N such that C^N = S for allclasses C in S? Does it have any nice asymptotics for the series ofalternating groups A_n? The same question for other series of finitesimple nonabelian groups.