Topology, Ergodic Theory, Real Algebraic Geometry

Topology, Ergodic Theory, Real Algebraic Geometry

by V. G. Turaev
     
 

ISBN-10: 0821827405

ISBN-13: 9780821827406

Pub. Date: 03/27/2001

Publisher: American Mathematical Society

This book is dedicated to the memory of the outstanding Russian mathematician, V. A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real

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Overview

This book is dedicated to the memory of the outstanding Russian mathematician, V. A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real algebraic geometry (real algebraic curves, plane algebraic surfaces, algebraic links, and complex orientations), dynamics (ergodicity, amenability, and random bundle transformations), geometry of Riemannian manifolds, theory of Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles of historical interest.

Product Details

ISBN-13:
9780821827406
Publisher:
American Mathematical Society
Publication date:
03/27/2001
Series:
American Mathematical Society Translations--Series 2 Series, #202
Pages:
286
Product dimensions:
7.48(w) x 10.63(h) x (d)

Table of Contents

Foreword
Vladimir Abramovich Rokhlin1
V. A. Rokhlin and the modern theory of measurable partitions11
Higher skein modules, II21
Betti numbers of real numerical quintic surfaces31
Markov averaging and ergodic theorems for several operators39
Ergodicity of p-adic multiplications and the distribution of Fibonacci numbers51
On the Pontryagin-Viro form71
Counting zeros of closed 1-forms95
Rokhlin's question and smooth quotients by complex conjugation of singular real algebraic surfaces109
On the number of even ovals of a nonsingular curve of even degree in RP[superscript 2]121
Isometries of Teichmuller spaces from the point of view of Mostow rigidity131
Equivalence relations with amenable leaves need not be amenable151
Maximal smoothings of real plane curve singular points167
On the topological pressure for random bundle transformations197
Complex orientations of M-curves of degree 7215
Poincare series and comparison theorems for variable negative curvature229
Encomplexing the writhe241
Monotileable amenable groups257
Spin bordism of oriented manifolds and the Hauptvermutung for 6-manifolds263

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