Mathematics

Authors and titles for October 2000

[101] arXiv:math/0010049 [pdf, other]

Title: The modularity of the Barth-Nieto quintic and its relatives

K. Hulek, J. Spandaw, B. van Geemen, D. van Straten

Comments: 30 pages, Latex2e

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

[102] arXiv:math/0010050 [pdf, other]

Title: On the algebra A_{\hbar,\eta}(osp(2|2)^{(2)}) and free boson representations

N MacKay, L Zhao

Comments: 14 pages, LaTeX

Subjects: Quantum Algebra (math.QA)

[103] arXiv:math/0010051 [pdf, other]

Title: Admissible vectors for the regular representation

Hartmut Fuehr

Comments: 11 pages

Subjects: Functional Analysis (math.FA); Mathematical Physics (math-ph)

[104] arXiv:math/0010052 [pdf, other]

Title: Estimated transversality in symplectic geometry and projective maps

Denis Auroux

Comments: 25 pages; to appear in Proc. International KIAS Conference (Seoul, 2000)

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)

[105] arXiv:math/0010053 [pdf, other]

Title: An explicit construction of the McKay correspondence for A-Hilb C^3

Alastair Craw

Comments: 25 pages, 20 figures

Journal-ref: Journal of Algebra 285 (2005) 682-705

Subjects: Algebraic Geometry (math.AG)

[106] arXiv:math/0010054 [pdf, other]

Title: The geometry of three-forms in six and seven dimensions

Nigel Hitchin

Comments: 38 pages, LateX

Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG)

[107] arXiv:math/0010055 [pdf, other]

Title: Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds

Thomas C. Sideris (University of California, Santa Barbara), Shu-Yi Tu (St. Cloud State University)

Subjects: Analysis of PDEs (math.AP)

[108] arXiv:math/0010056 [pdf, other]

Title: Rank frequencies for quadratic twists of elliptic curves

Karl Rubin (Stanford University), Alice Silverberg (Ohio State University)

Comments: 14 pages

Subjects: Number Theory (math.NT)

[109] arXiv:math/0010057 [pdf, other]

Title: Heat kernel asymptotics for Laplace type operators and matrix KdV hierarchy

Iosif Polterovich

Comments: Preliminary version; 9 pages

Subjects: Differential Geometry (math.DG); Spectral Theory (math.SP)

[110] arXiv:math/0010058 [pdf, other]

Title: On the topological entropy of an optical Hamiltonian flow

Cesar J. Niche (Mathematics Department, University of California at Santa Cruz)

Comments: 14 pages

Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG); Symplectic Geometry (math.SG)

[111] arXiv:math/0010059 [pdf, other]

Title: Introduction to Symplectic Field Theory

Yakov Eliashberg (Stanford), Alexander Givental (UC Berkeley), Helmut Hofer (NYU)

Comments: 102 pages, 4 figures

Subjects: Symplectic Geometry (math.SG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

[112] arXiv:math/0010060 [pdf, other]

Title: Standard Complex for Quantum Lie Algebras

C.Burdik (Prague), A.P.Isaev (Dubna), O.Ogievetsky (Marseille)

Comments: 10 pages, LaTeX. Report given at XXIII Int. Colloquium on Group Theoretical Methods in Physics, July 31 - August 05, 2000, Dubna (Russia)

Subjects: Quantum Algebra (math.QA)

[113] arXiv:math/0010061 [pdf, other]

Title: The homology of iterated loop spaces

V.A.Smirnov

Comments: 32 pages

Subjects: Algebraic Topology (math.AT)

[114] arXiv:math/0010062 [pdf, other]

Title: Statistical properties of unimodal maps: the quadratic family

Artur Avila, Carlos Gustavo Moreira

Comments: 42 pages, no figures, fifth version, to appear in Annals of Mathematics

Subjects: Dynamical Systems (math.DS)

[115] arXiv:math/0010063 [pdf, other]

Title: The zeta(2) limit in the random assignment problem

David J. Aldous (UC Berkeley)

Comments: 45 pages

Subjects: Probability (math.PR); Mathematical Physics (math-ph)

[116] arXiv:math/0010064 [pdf, other]

Title: A Survey of Mirror Principle

Bong H. Lian, Kefeng Liu, Shing-Tung Yau

Comments: 11 pages plain TeX

Subjects: Algebraic Geometry (math.AG)

[117] arXiv:math/0010065 [pdf, other]

Title: Introductory Calculus from the Viewpoint of Non-Standard Analysis - Derivative of Sine and Cosine

Jack L. Uretsky

Comments: LaTeX; 19 pp, 6 figs

Subjects: General Mathematics (math.GM)

[118] arXiv:math/0010066 [pdf, other]

Title: The identity is the most likely exchange shuffle for large n

Daniel Goldstein, David Moews

Comments: 23+2 pages; 3 figures. Submitted to Aequationes Mathematicae

Journal-ref: Aequationes Mathematicae, 65, #1-2 (February 2003), pp 3-30

Subjects: Combinatorics (math.CO)

[119] arXiv:math/0010067 [pdf, other]

Title: Detecting flat normal cones using Segre classes

S. J. Colley, G. Kennedy

Comments: LaTeX, 11 pages, no figures

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[120] arXiv:math/0010068 [pdf, other]

Title: Global regularity of wave maps I. Small critical Sobolev norm in high dimension

Terence Tao

Comments: 24 pages, no figures, to appear, IMRN. The continuity argument has been once again simplified, some references added, and more typoes have been eradicated

Subjects: Analysis of PDEs (math.AP)

[121] arXiv:math/0010069 [pdf, other]

Title: Recent progress on the Kakeya conjecture

Nets Katz, Terence Tao

Comments: 15 pages, no figures, El Escorial 2000 conference proceedings. References updated slightly

Subjects: Classical Analysis and ODEs (math.CA)

[122] arXiv:math/0010070 [pdf, other]

Title: Measured creatures

Andrzej Roslanowski, Saharon Shelah

Journal-ref: Israel J. Math. 151 (2006) 61-110

Subjects: Logic (math.LO); Classical Analysis and ODEs (math.CA); General Topology (math.GN)

[123] arXiv:math/0010071 [pdf, other]

Title: Real Analysis, Quantitative Topology, and Geometric Complexity

Stephen Semmes

Comments: 161 pages, Latex2e

Journal-ref: Publicacions Matematiques (Barcelona) 45 (2001), 3--67, 265--333

Subjects: Metric Geometry (math.MG)

[124] arXiv:math/0010072 [pdf, other]

Title: Deformation complex of a d-algebra is a (d+1)-algebra

Dmitry E. Tamarkin

Subjects: Quantum Algebra (math.QA)

[125] arXiv:math/0010073 [pdf, other]

Title: Torus actions, combinatorial topology and homological algebra

Victor M. Buchstaber, Taras E. Panov

Comments: 87 pages, 11 figures, LaTeX2e, to appear in Russian Math. Surveys 55 (2000), no.5

Journal-ref: Russian Math. Surveys 55 (2000), no.5, 825-921

Subjects: Algebraic Topology (math.AT); Commutative Algebra (math.AC); Algebraic Geometry (math.AG); Combinatorics (math.CO); Geometric Topology (math.GT); Rings and Algebras (math.RA)

[126] arXiv:math/0010074 [pdf, other]

Title: Poisson and Hamiltonian Superpairs over Polarized Associative Algebras

Xiaoping Xu

Comments: 30 pages, Latex file

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Symplectic Geometry (math.SG)

[127] arXiv:math/0010075 [pdf, other]

Title: Multilinear Calder\'on-Zygmund operators on Hardy spaces

Loukas Grafakos, Nigel Kalton

Comments: 10 pages

Subjects: Functional Analysis (math.FA)

[128] arXiv:math/0010076 [pdf, other]

Title: The Marcinkiewicz multiplier condition for bilinear operators

Loukas Grafakos, Nigel Kalton

Comments: 42 pages

Subjects: Functional Analysis (math.FA)

[129] arXiv:math/0010077 [pdf, other]

Title: Isometries of elliptic 3-manifolds

Darryl McCullough

Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)

[130] arXiv:math/0010078 [pdf, other]

Title: Extrema of p-energy functional on a Finsler manifold

Constantin Udriste, Mircea Neagu

Comments: 10 pages, We have benefitted from the crticisms of Prof. Dr. Lajos Tamassy and his co-workers upon previous variants of our paper

Journal-ref: BSG Proceedings 3 (1999), 175-184

Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)

[131] arXiv:math/0010079 [pdf, other]

Title: A theory of quaternionic algebra, with applications to hypercomplex geometry

Dominic Joyce

Comments: 66 pages, LaTeX, uses packages amstex and amssymb

Journal-ref: Proc. 2nd Meeting on Quaternionic Structures in Mathematics and Physics, Rome, 1999

Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG)

[132] arXiv:math/0010080 [pdf, other]

Title: Quantum cohomology of flag manifolds

Linda Chen

Comments: 28 pages, LaTeX

Subjects: Algebraic Geometry (math.AG)

[133] arXiv:math/0010081 [pdf, other]

Title: Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries

Metin Gurses (Bilkent University)

Comments: Latex file (amssymb), 12 pages. A talk presented (based on the work in Math.DG/0006041) in ``Geometry, Integrability, and Quantization'' July 7-15, 2000 Varna-Bulgaria

Subjects: Differential Geometry (math.DG)

[134] arXiv:math/0010082 [pdf, other]

Title: Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces

Yi Hu (U. Texas at Arlington), Chien-Hao Liu, Shing-Tung Yau (Harvard University)

Comments: 56 pages; Maple codes are included

Journal-ref: Adv.Theor.Math.Phys. 6 (2003) 457-505

Subjects: Algebraic Geometry (math.AG); High Energy Physics - Theory (hep-th)

[135] arXiv:math/0010083 [pdf, other]

Title: The role of connectedness in the structure and the action of group of isometries of locally compact metric spaces

Antonios Manoussos, Polychronis Strantzalos

Comments: 6 pages

Subjects: General Topology (math.GN); Dynamical Systems (math.DS)

[136] arXiv:math/0010084 [pdf, other]

Title: Quantum groups and Fuss-Catalan algebras

Teodor Banica

Comments: 12 pages

Journal-ref: Comm. Math. Phys. 226 (2002), 221-232

Subjects: Quantum Algebra (math.QA)

[137] arXiv:math/0010085 [pdf, other]

Title: Connections up to homotopy and characteristic classes

Marius Crainic

Comments: 12 pages

Subjects: Differential Geometry (math.DG); Algebraic Topology (math.AT); K-Theory and Homology (math.KT); Symplectic Geometry (math.SG)

[138] arXiv:math/0010086 [pdf, other]

Title: Asymmetries in the Shanks-Renyi Prime Number Race

Greg Martin

Comments: 11 pages; submitted to the conference proceedings of the Millennial Conference on Number Theory (University of Illinois at Urbana-Champaign, 2000). Minor revisions only

Subjects: Number Theory (math.NT)

[139] arXiv:math/0010087 [pdf, other]

Title: Amoebas of maximal area

Grigory Mikhalkin, Hans Rullgard

Comments: 10 pages

Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Symplectic Geometry (math.SG)

[140] arXiv:math/0010088 [pdf, other]

Title: An Introduction to the Neutrosophic Probability Applied in Quantum Physics

Florentin Smarandache

Comments: 11 pages, no figures. Presented the "Amiral Vasile Urseanu" National Observatory in Bucharest, 20 May 2000. In "Collected Papers", Vol. III, book by Florentin Smarandache, Abaddaba, Oradea, 2000

Journal-ref: Published in Bulletin of Pure and Applied Sciences, Physics, 13-25, Vol. 22D, No. 1, 2003.

Subjects: General Mathematics (math.GM)

[141] arXiv:math/0010089 [pdf, other]

Title: On tensor categories attached to cells in affine Weyl groups

Roman Bezrukavnikov

Comments: The published version of this paper misquoted a result of Lusztig, this version corrects this mistake (thanks to Xinwen Zhu for pointing it out)

Journal-ref: in: "Representation theory of algebraic groups and quantum groups," 69--90, Adv. Stud. Pure Math., 40, Math. Soc. Japan, Tokyo, 2004

Subjects: Representation Theory (math.RT); Category Theory (math.CT)

[142] arXiv:math/0010090 [pdf, other]

Title: The Geometry of Relativistic Rheonomic Lagrange Spaces

Mircea Neagu

Comments: 26 pages

Journal-ref: BSG Proceedings 5 (2001), 142-168

Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)

[143] arXiv:math/0010091 [pdf, other]

Title: The Geometry of Autonomous Metrical Multi-Time Lagrange Space of Electrodynamics

Mircea Neagu

Comments: 10 pages

Journal-ref: Hindawi Publishing Corporation, International Journal of Mathematics and Mathematical Sciences, Vol. 29, No. 1 (2002), 7-15

Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)

[144] arXiv:math/0010092 [pdf, other]

Title: On blockers in bounded posets

Andrey O. Matveev

Comments: 9 pages; published version

Journal-ref: International Journal of Mathematics and Mathematical Sciences, Volume 26 (2001), Issue 10, Pages 581-588

Subjects: Combinatorics (math.CO)

[145] arXiv:math/0010093 [pdf, other]

Title: Harmonic analysis on the SU(2) dynamical quantum group

Erik Koelink, Hjalmar Rosengren

Comments: 51 pages; minor corrections

Journal-ref: Acta Appl. Math. 69 (2001), 163-220

Subjects: Quantum Algebra (math.QA); Classical Analysis and ODEs (math.CA)

[146] arXiv:math/0010094 [pdf, other]

Title: q-convolution and its q-Fourier transform

V.-B.K. Rogov

Comments: 17 pages, Latex

Subjects: Quantum Algebra (math.QA)

[147] arXiv:math/0010095 [pdf, other]

Title: Partial synchronicity and the (max,+) semiring

Michael McGettrick (National University of Ireland, Galway)

Comments: 12 pages, 6 figures, LaTeX using one included style file (this http URL)

Subjects: Optimization and Control (math.OC)

[148] arXiv:math/0010096 [pdf, other]

Title: Periodic Complexes and Group Actions

Alejandro Adem, Jeff H. Smith

Comments: Revised version

Subjects: Algebraic Topology (math.AT); Geometric Topology (math.GT)

[149] arXiv:math/0010097 [pdf, other]

Title: Cuntz-Krieger-Pimsner Algebras Associated with Amalgamated Free Product Groups

Rui Okayasu

Subjects: Operator Algebras (math.OA)

[150] arXiv:math/0010098 [pdf, other]

Title: On Rugina's System of Thought

Florentin Smarandache

Comments: 30 pages, 1 figure

Journal-ref: Published in International Journal of Social Economics, Vol. 28, No. 8, 623-647, 2001.

Subjects: General Mathematics (math.GM)