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Hardcover ISBN:  9780821827406 
Product Code:  TRANS2/202 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470434137 
Product Code:  TRANS2/202.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821827406 
eBook ISBN:  9781470434137 
Product Code:  TRANS2/202.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 202; 2001; 286 ppMSC: Primary 14; 37; Secondary 28; 57
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 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.
ReadershipGraduate students and research mathematicians interested in topology, geometry, dynamics and measure theory.

Table of Contents

Chapters

A. M. Vershik — Vladimir Abramovich Rokhlin

A. M. Vershik — A. Rokhlin and the modern theory of measurable partitions

Jørgen Ellegaard Andersen and Vladimir Turaev — Higher skein modules, II

F. Bihan — Betti numbers of real numerical quintic surfaces

Alexander Bufetov — Markov averaging and ergodic theorems for several operators

Zaqueu Coelho and William Parry — Ergodicity of $p$adic multiplications and the distribution of Fibonacci numbers

Alexander Degtyarev — On the PontryaginViro form

Michael Farber — Counting zeros of closed 1forms

Sergey Finashin — Rokhlin’s question and smooth quotients by complex conjugation of singular real algebraic surfaces

Ilia Itenberg — On the number of even ovals of a nonsingular curve of even degree in $\mathbb {R}P^2$

Nikolai V. Ivanov — Isometries of Teichmüller spaces from the point of view of Mostow rigidity

Vadim 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

Yuri Kifer — On the topological pressure for random bundle transformations

S. Yu. Orevkov — Complex orientations of $M$curves of degree 7

Mark Pollicott and Richard Sharp — Poincaré series and comparison theorems for variable negative curvature

Oleg Viro — Encomplexing the writhe

Benjamin Weiss — Monotileable amenable groups

A. V. Zhubr — Spin bordism of oriented manifolds and the Hauptvermutung for 6manifolds


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

Chapters

A. M. Vershik — Vladimir Abramovich Rokhlin

A. M. Vershik — A. Rokhlin and the modern theory of measurable partitions

Jørgen Ellegaard Andersen and Vladimir Turaev — Higher skein modules, II

F. Bihan — Betti numbers of real numerical quintic surfaces

Alexander Bufetov — Markov averaging and ergodic theorems for several operators

Zaqueu Coelho and William Parry — Ergodicity of $p$adic multiplications and the distribution of Fibonacci numbers

Alexander Degtyarev — On the PontryaginViro form

Michael Farber — Counting zeros of closed 1forms

Sergey Finashin — Rokhlin’s question and smooth quotients by complex conjugation of singular real algebraic surfaces

Ilia Itenberg — On the number of even ovals of a nonsingular curve of even degree in $\mathbb {R}P^2$

Nikolai V. Ivanov — Isometries of Teichmüller spaces from the point of view of Mostow rigidity

Vadim 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

Yuri Kifer — On the topological pressure for random bundle transformations

S. Yu. Orevkov — Complex orientations of $M$curves of degree 7

Mark Pollicott and Richard Sharp — Poincaré series and comparison theorems for variable negative curvature

Oleg Viro — Encomplexing the writhe

Benjamin Weiss — Monotileable amenable groups

A. V. Zhubr — Spin bordism of oriented manifolds and the Hauptvermutung for 6manifolds