American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 2001; 286 pp; hardcover Volume: 202 ISBN10: 0821827405 ISBN13: 9780821827406 List Price: US$138 Member Price: US$110.40 Order Code: TRANS2/202
 This book is dedicated to the memory of the outstanding Russian mathematician, V. A. Rokhlin (19191984). 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 MorseNovikov 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  A. M. Vershik  Vladimir Abramovich Rokhlin
 A. M. Vershik  V. A. Rokhlin and the modern theory of measurable partitions
 J. E. Andersen and V. Turaev  Higher skein modules, II
 F. Bihan  Betti numbers of real numerical quintic surfaces
 A. Bufetov  Markov averaging and ergodic theorems for several operators
 Z. Coelho and W. Parry  Ergodicity of \(p\)adic multiplications and the distribution of Fibonacci numbers
 A. Degtyarev  On the PontryaginViro form
 M. Farber  Counting zeros of closed 1forms
 S. Finashin  Rokhlin's question and smooth quotients by complex conjugation of singular real algebraic surfaces
 I. Itenberg  On the number of even ovals of a nonsingular curve of even degree in \(\mathbb{R}P^2\)
 N. V. Ivanov  Isometries of Teichmüller spaces from the point of view of Mostow rigidity
 V. A. Kaimanovich  Equivalence relations with amenable leaves need not be amenable
 V. Kharlamov, J.J. Risler, and E. Shustin  Maximal smoothings of real plane curve singular points
 Y. Kifer  On the topological pressure for random bundle transformations
 S. Yu. Orevkov  Complex orientations of \(M\)curves of degree 7
 M. Pollicott and R. Sharp  Poincaré series and comparison theorems for variable negative curvature
 O. Viro  Encomplexing the writhe
 B. Weiss  Monotileable amenable groups
 A. V. Zhubr  Spin bordism of oriented manifolds and the Hauptvermutung for 6manifolds
