Topology, Ergodic Theory, Real Algebraic Geometry

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Brand new. We distribute directly for the publisher. 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 Teichmller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles of historical interest. Read more Show Less

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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.

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Editorial Reviews

Booknews
Vladimir Abramovich Rokhlin, who died in 1984, was a Russian mathematician whose contributions to topology and ergodic theory have been internationally recognized. This collection of 19 papers by Rokhlin's colleagues and students covers topics that reflect the spectrum of his interests, including topology, geometry, real algebraic geometry, and dynamical systems. The volume lacks a subject index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Foreword
Vladimir Abramovich Rokhlin 1
V. A. Rokhlin and the modern theory of measurable partitions 11
Higher skein modules, II 21
Betti numbers of real numerical quintic surfaces 31
Markov averaging and ergodic theorems for several operators 39
Ergodicity of p-adic multiplications and the distribution of Fibonacci numbers 51
On the Pontryagin-Viro form 71
Counting zeros of closed 1-forms 95
Rokhlin's question and smooth quotients by complex conjugation of singular real algebraic surfaces 109
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 rigidity 131
Equivalence relations with amenable leaves need not be amenable 151
Maximal smoothings of real plane curve singular points 167
On the topological pressure for random bundle transformations 197
Complex orientations of M-curves of degree 7 215
Poincare series and comparison theorems for variable negative curvature 229
Encomplexing the writhe 241
Monotileable amenable groups 257
Spin bordism of oriented manifolds and the Hauptvermutung for 6-manifolds 263
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