**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

2001; 286 pp; Hardcover

MSC: Primary 14; 37; Secondary 28; 57

Print ISBN: 978-0-8218-2740-6

Product Code: TRANS2/202

Print ISBN: 978-0-8218-2740-6

Product Code: TRANS2/202

List Price: $138.00

AMS Member Price: $110.40

MAA Member Price: $124.20

**Electronic ISBN: 978-1-4704-3413-7
Product Code: TRANS2/202.E**

List Price: $138.00

AMS Member Price: $110.40

MAA Member Price: $124.20

# Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin’s Memorial

Share this page *Edited by *
*V. Turaev; A. Vershik*

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 Teichmüller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles of historical interest.

#### Readership

Graduate students and research mathematicians interested in topology, geometry, dynamics and measure theory.

# Table of Contents

## Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin's Memorial

- Cover Cover11
- Frontispiece ii3
- Title page v6
- Copyright page vi7
- Contents viii9
- Foreword ix10
- Vladimir Abramovich Rokhlin 112
- V. A. Rokhlin and the modern theory of measurable partitions 1122
- Higher skein modules, II 2132
- Betti numbers of real numerical quintic surfaces 3142
- Markov averaging and ergodic theorems for several operators 3950
- Ergodicity of 𝑝-adic multiplications and the distribution of Fibonacci numbers 5162
- On the Pontryagin-Viro form 7182
- Counting zeros of closed 1-forms 95106
- Rokhlin’s question and smooth quotients by complex conjugation of singular real algebraic surfaces 109120
- On the number of even ovals of a nonsingular curve of even degree in ℝℙ² 121132
- Isometries of Teichmüller spaces from the point of view of Mostow rigidity 131142
- Equivalence relations with amenable leaves need not be amenable 151162
- Maximal smoothings of real plane curve singular points 167178
- On the topological pressure for random bundle transformations 197208
- Complex orientations of 𝑀-curves of degree 7 215226
- Poincaré series and comparison theorems for variable negative curvature 229240
- Encomplexing the writhe 241252
- Monotileable amenable groups 257268
- Spin bordism of oriented manifolds and the Hauptvermutung for 6-manifolds 263274
- Back Cover Back Cover1298