Topology, Ergodic Theory, Real Algebraic Geometry ：Rokhlin's Memorial ( American Mathematical Society Translations - Series 2 )

Publication subTitle ：Rokhlin's Memorial

Publication series ：American Mathematical Society Translations - Series 2

Author： V. Turaev;A. Vershik

Publisher： American Mathematical Society‎

Publication year： 2001

E-ISBN: 9781470434137

P-ISBN(Hardback): 9780821827406

Subject： O18 geometric topology

Keyword：暂无分类

Language： ENG

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Topology, Ergodic Theory, Real Algebraic Geometry

Description

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.

Chapter

Cover

Frontispiece

Title page

Contents

Foreword

Vladimir Abramovich Rokhlin

V. A. Rokhlin and the modern theory of measurable partitions

Higher skein modules, II

Betti numbers of real numerical quintic surfaces

Markov averaging and ergodic theorems for several operators

Ergodicity of 𝑝-adic multiplications and the distribution of Fibonacci numbers

On the Pontryagin-Viro form

Counting zeros of closed 1-forms

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

On the number of even ovals of a nonsingular curve of even degree in ℝℙ²

Isometries of Teichmüller spaces from the point of view of Mostow rigidity

Equivalence relations with amenable leaves need not be amenable

Maximal smoothings of real plane curve singular points

On the topological pressure for random bundle transformations

Complex orientations of 𝑀-curves of degree 7

Poincaré series and comparison theorems for variable negative curvature

Encomplexing the writhe

Monotileable amenable groups

Spin bordism of oriented manifolds and the Hauptvermutung for 6-manifolds

Back Cover

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