Mathematics

Authors and titles for February 2000

[101] arXiv:math/0002047 [pdf, other]

Title: On the approximation of the values of exponential function and logarithm by algebraic numbers

Yu. Nesterenko (Moscow), M. Waldschmidt (Paris)

Comments: 17 pages. See also this http URL and this http URL

Journal-ref: Mat. Zapiski, 2, Diophantine approximations, Moscow (1996), 23--42

Subjects: Number Theory (math.NT)

[102] arXiv:math/0002048 [pdf, other]

Title: Twist deformations for Yangians

Vladimir D. Lyakhovsky (Sankt-Petersburg State University)

Comments: 8p.,Latex, to be published in the Proceedings of the SQS'99 Conference (Dubna, July 99)

Subjects: Quantum Algebra (math.QA)

[103] arXiv:math/0002049 [pdf, other]

Title: L^2-Riemann-Roch Inequalities for Covering Manifolds

Radu Todor, Ionuţ Chiose, George Marinescu

Comments: AMStex, 27 pages

Subjects: Algebraic Geometry (math.AG)

[104] arXiv:math/0002050 [pdf, other]

Title: Minimal submanifolds of Kaehler-Einstein manifolds with equal Kaehler angles

Isabel M. C. Salavessa, Giorgio Valli

Comments: 33 pages, plain LaTeX, minor revisions

Subjects: Differential Geometry (math.DG)

[105] arXiv:math/0002051 [pdf, other]

Title: A Mixture of the Exclusion Process and the Voter Model

Vladimir Belitsky, Pablo A. Ferrari, Mikhail V. Menshikov, Serguei Yu. Popov

Comments: latex, 32 pages. Available online at: this http URL

Journal-ref: Bernoulli Volume 7, Number 1 (2001), 119-144

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

[106] arXiv:math/0002052 [pdf, other]

Title: The Alexander polynomial of a plane curve singularity and the ring of functions on it

A.Campillo (University of Valladolid, Spain), F.Delgado (University of Valladolid, Spain), S.M.Gusein-Zade (Moscow State University, Russia)

Comments: 5 pages, LaTeX

Subjects: Algebraic Geometry (math.AG); Geometric Topology (math.GT)

[107] arXiv:math/0002053 [pdf, other]

Title: On Symplectically Harmonic Forms on Six-dimensional Nilmanifolds

R. Ibáñez, Yu. Rudyak, A. Tralle, L. Ugarte

Subjects: Symplectic Geometry (math.SG)

[108] arXiv:math/0002054 [pdf, other]

Title: F-regular and F-pure rings vs. log terminal and log canonical singularities

Nobuo Hara, Kei-ichi Watanabe

Comments: 24 pages, AMS-TeX

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

[109] arXiv:math/0002055 [pdf, other]

Title: The manifold of finite rank projections in the space L(H)

José M. Isidro

Comments: A 10 pages long AMSTeX file

Subjects: Functional Analysis (math.FA); Differential Geometry (math.DG)

[110] arXiv:math/0002056 [pdf, other]

Title: Graphical Compositions 1: Basic Enumeration

A Knopfmacher, M E Mays

Comments: 13 pages, Latex file

Subjects: Combinatorics (math.CO)

[111] arXiv:math/0002057 [pdf, other]

Title: Deformation quantization with traces

Giovanni Felder (ETH), Boris Shoikhet (IPDE, IHES)

Comments: 14 pages, 2 figures. Discussion of general volume forms corrected

Journal-ref: Lett. Math. Phys. 53 (2000), 75-86

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Differential Geometry (math.DG)

[112] arXiv:math/0002058 [pdf, other]

Title: Espace des modules des faisceaux semi-stables de rang 2 et de classes de Chern $c_{1}=0$, $c_{2}=2$ et $c_{3}=0$ sur une hypersurface cubique lisse de $\mathbb{P}^{4}$

Stéphane Druel

Comments: 12 pages, French, to appear in IMRN

Subjects: Algebraic Geometry (math.AG)

[113] arXiv:math/0002059 [pdf, other]

Title: An Abel ordinary differential equation class generalizing known integrable classes

E.S. Cheb-Terrab, A.D. Roche

Comments: 11 pages. Original version: Aug/1999. Related Maple programs for Abel ODEs are available at this http URL

Journal-ref: European Journal of Applied Mathematics (2003), vol. 14, pp. 217-229

Subjects: General Mathematics (math.GM)

[114] arXiv:math/0002060 [pdf, other]

Title: A category for the adjoint representation

Ruth Stella Huerfano, Mikhail Khovanov

Comments: latex file + 4 eps files with figures; several mistakes found in the original version were corrected, in particular propositions 16-18 required additional assumption of binary G

Journal-ref: Journal of Algebra, 246 (2001), no. 2, 514--542

Subjects: Quantum Algebra (math.QA); Algebraic Geometry (math.AG); Representation Theory (math.RT)

[115] arXiv:math/0002061 [pdf, other]

Title: Is Bootstrap Really Helpful in Point Process Statistics?

Martin Snethlage (Bergakademie Freiberg)

Comments: LaTeX, 10 pages

Journal-ref: Metrika49:245-255,1999

Subjects: Statistics Theory (math.ST); Astrophysics (astro-ph); Probability (math.PR)

[116] arXiv:math/0002062 [pdf, other]

Title: A characterisation of Pfaffian near bipartite graphs

Ilse Fischer, C.H.C. Little

Subjects: Combinatorics (math.CO)

[117] arXiv:math/0002063 [pdf, other]

Title: Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra

H. Ahmedov, I. H. Duru

Comments: Latex, 6 pp

Journal-ref: J. Phys. A: Math. Gen. 33 (2000) 4277

Subjects: Quantum Algebra (math.QA)

[118] arXiv:math/0002064 [pdf, other]

Title: Almost ring theory

Ofer Gabber, Lorenzo Ramero

Comments: 51 pages; latex file; for future updates see this http URL

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Rings and Algebras (math.RA)

[119] arXiv:math/0002065 [pdf, other]

Title: A generalization of Cayley submanifolds

Alessandro Ghigi

Comments: 15 pages, LaTeX

Subjects: Differential Geometry (math.DG)

[120] arXiv:math/0002066 [pdf, other]

Title: Cubic Surfaces and Borcherds Products

Daniel Allcock, Eberhard Freitag

Comments: 27 pages; plain TeX

Subjects: Algebraic Geometry (math.AG)

[121] arXiv:math/0002067 [pdf, other]

Title: Fuglede's conjecture for a union of two intervals

I. Laba

Comments: 9 pages

Subjects: Classical Analysis and ODEs (math.CA)

[122] arXiv:math/0002068 [pdf, other]

Title: Metastability of Breather Modes of Time-Dependent Potentials

P.D. Miller, A. Soffer, M.I. Weinstein

Comments: 69 pages, 13 figures, to appear in Nonlinearity

Subjects: Dynamical Systems (math.DS); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Chaotic Dynamics (nlin.CD); Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI)

[123] arXiv:math/0002069 [pdf, other]

Title: Pre-Lie algebras and the rooted trees operad

Frederic Chapoton, Muriel Livernet

Comments: 13 pages, uses xypic, typos corrected and more explicit description of the free algebra

Journal-ref: IMRN 2001 vol. 8 p 395-408

Subjects: Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[124] arXiv:math/0002070 [pdf, other]

Title: On $\alpha $-Critical Edges in K\"{o}nig-Egerv\'{a}ry Graphs

Vadim E. Levit, Eugen Mandrescu

Comments: 15 pages, 10 figures

Subjects: Combinatorics (math.CO)

[125] arXiv:math/0002071 [pdf, other]

Title: On certain geometric and homotopy properties of closed symplectic manifolds

Raúl Ibáñez, Yuli Rudyak, Aleksy Tralle, Luis Ugarte

Subjects: Symplectic Geometry (math.SG)

[126] arXiv:math/0002072 [pdf, other]

Title: Energy in Yang-Mills on a Riemann Surface

Dana Stanley Fine

Comments: 7 pages, 2 figures, Latex2e with epsfig, submitted to Journal of Mathematical Physics

Journal-ref: J.Math.Phys. 41 (2000) 4387-4390

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

[127] arXiv:math/0002073 [pdf, other]

Title: Non-commutative Pieri operators on posets

Nantel Bergeron (York University, Toronto Canada), Stefan Mykytiuk (York U.), Frank Sottile (University of Massachusetts), Stephanie van Willigenburg (York U)

Comments: LaTeX 2e, 22 pages Minor corrections, updated references. Complete and final version, to appear in issue of J. Combin. Th. Ser. A dedicated to G.-C. Rota

Journal-ref: J. Combin. Th. Ser. A, Vol. 91, No. 1/2, Aug 2000, pp. 84-110

Subjects: Combinatorics (math.CO); Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[128] arXiv:math/0002074 [pdf, other]

Title: L^2 Cohomology on coverings of a compact K\"ahler manifold

Frédéric Campana (Université de Nancy I), Jean-Pierre Demailly (Université de Grenoble I)

Comments: Plain TeX, 19 pages, written in French

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

[129] arXiv:math/0002075 [pdf, other]

Title: Conformal Geometry of Surfaces in the 4-Sphere and Quaternions

F. Burstall, D. Ferus, K. Leschke, F. Pedit, U. Pinkall

Journal-ref: Lecture Notes in Mathematics vol 1772, Springer-Verlag, 2002

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

[130] arXiv:math/0002076 [pdf, other]

Title: Geometric formulas for Smale invariants of codimension two immersions

Tobias Ekholm, Andras Szucs

Comments: 22 pages, LaTeX2e

Subjects: Geometric Topology (math.GT)

[131] arXiv:math/0002077 [pdf, other]

Title: Differential 3-knots in 5-space with and without self intersections

Tobias Ekholm

Comments: 35 pages, 7 figures, A newer version of this paper will appear in Topology

Subjects: Geometric Topology (math.GT)

[132] arXiv:math/0002078 [pdf, other]

Title: Entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to quasi-free states

Sergey Neshveyev

Comments: LaTeX2e, 20 pages

Subjects: Operator Algebras (math.OA)

[133] arXiv:math/0002079 [pdf, other]

Title: An automorphic form related to cubic surfaces

R. E. Borcherds

Comments: 2 pages plain TeX

Subjects: Algebraic Geometry (math.AG)

[134] arXiv:math/0002080 [pdf, other]

Title: On the K-property of quantized Arnold cat maps

Sergey Neshveyev

Comments: LaTeX2e, 5 pages, to appear in this http URL

Subjects: Operator Algebras (math.OA)

[135] arXiv:math/0002081 [pdf, other]

Title: Entropy in type I algebras

Sergey Neshveyev, Erling Stormer

Comments: LaTeX2e, 7 pages

Subjects: Operator Algebras (math.OA)

[136] arXiv:math/0002082 [pdf, other]

Title: Entropy of automorphisms of II_1-factors arising from the dynamical systems theory

Valentin Golodets, Sergey Neshveyev

Comments: LaTeX2e, 12 pages

Subjects: Operator Algebras (math.OA)

[137] arXiv:math/0002083 [pdf, other]

Title: Deformation of singular lagrangian subvarieties

Duco van Straten, Christian Sevenheck

Comments: 19 Pages

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

[138] arXiv:math/0002084 [pdf, other]

Title: Lectures on Factorization of Birational Maps

Kenji Matsuki

Comments: 105 pages

Subjects: Algebraic Geometry (math.AG)

[139] arXiv:math/0002085 [pdf, other]

Title: Why would multiplicities be log-concave ?

Andrei Okounkov

Comments: 22 pages, Latex

Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Combinatorics (math.CO)

[140] arXiv:math/0002086 [pdf, other]

Title: Global Stability for Holomorphic Foliations in Kaehler Manifolds

Jorge Vitorio Pereira

Comments: 3 pages

Journal-ref: Qualitative Theory of Dynamical Systems, 2, pp.381-384, 2001.

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

[141] arXiv:math/0002087 [pdf, other]

Title: A categorification of the Temperley-Lieb algebra and Schur quotients of U(sl(2)) via projective and Zuckerman functors

Joseph Bernstein, Igor Frenkel, Mikhail Khovanov

Comments: 31 pages, 11 figures

Journal-ref: Selecta Mathematica, New ser. 5 (1999) 199--241

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)

[142] arXiv:math/0002088 [pdf, other]

Title: On the size of Diophantine m-tuples

Andrej Dujella (University of Zagreb)

Comments: 16 pages. See also this http URL

Journal-ref: Math. Proc. Cambridge Philos. Soc. 132 (2002), 23-33

Subjects: Number Theory (math.NT)

[143] arXiv:math/0002089 [pdf, other]

Title: The core model for almost linear iterations

Ralf-Dieter Schindler

Comments: 80 pages

Subjects: Logic (math.LO)

[144] arXiv:math/0002090 [pdf, other]

Title: Koornwinder polynomials and affine Hecke algebras

J.V. Stokman

Comments: 30 pages. Published version, with correction of a mistake in Theorem 3.4 (observed by Etingof, Gan and Oblomkov in math.QA/0504089)

Journal-ref: Internat. Math. Res. Notices 2000, no. 19, 1006-1042

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)

[145] arXiv:math/0002091 [pdf, other]

Title: Growth of sumsets in abelian semigroups

Melvyn B. Nathanson

Comments: 5 pages. To appear in Semigroup Forum

Journal-ref: Semigroup Forum 61 (2000),149--153

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

[146] arXiv:math/0002092 [pdf, other]

Title: Equivalence of Examples of Sacksteder and Bourgain

Maks A. Akivis, Vladislav V. Goldberg

Comments: LaTeX, 8 pages; revised version (the title and the main theorem modified, and a new characteristic property of the Bourgain hypersurfaces and new references added)

Journal-ref: Hokkaido Math. J., 30 (2001) no. 3 661-670

Subjects: Differential Geometry (math.DG)

[147] arXiv:math/0002093 [pdf, other]

Title: On the Structure of Submanifolds with Degenerate Gauss Mappings

Maks A. Akivis, Vladislav V. Goldberg

Comments: LaTeX, 22 pages; revised version, to appear in Geometrae Dedicata

Journal-ref: Geom. Dedicata, 86 (2001) no. 1-3 205-226

Subjects: Differential Geometry (math.DG)

[148] arXiv:math/0002094 [pdf, other]

Title: Parallel connections and bundles of arrangements

Michael J. Falk, Nicholas J. Proudfoot

Comments: 21 pages, 7 figures

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

[149] arXiv:math/0002095 [pdf, other]

Title: Virtual Gromov-Witten Invariants and the Quantum Cohomology Rings of General Type Projective Hypersurfaces

Masao Jinzenji (Univ. of Tokyo, Math. Dept.)

Comments: 16 pages, Latex, some comments added, minor errors are corrected

Journal-ref: Mod.Phys.Lett. A15 (2000) 629-650

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

[150] arXiv:math/0002096 [pdf, other]

Title: Examples and Counterexamples for Existence of Categorical Quotients

A. A'Campo-Neuen, J. Hausen

Comments: 15 pages, 3 figures, LaTeX2e + pstex

Journal-ref: J. Algebra 231, 67-85 (2000)

Subjects: Algebraic Geometry (math.AG)