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Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin’s Memorial
 
Edited by: V. Turaev Université Louis Pasteur—CNRS, Strasbourg, France
A. Vershik Steklov Mathematical Institute, St. Petersburg, Russia
Topology, Ergodic Theory, Real Algebraic Geometry
Hardcover ISBN:  978-0-8218-2740-6
Product Code:  TRANS2/202
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3413-7
Product Code:  TRANS2/202.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-2740-6
eBook: ISBN:  978-1-4704-3413-7
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
Topology, Ergodic Theory, Real Algebraic Geometry
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Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin’s Memorial
Edited by: V. Turaev Université Louis Pasteur—CNRS, Strasbourg, France
A. Vershik Steklov Mathematical Institute, St. Petersburg, Russia
Hardcover ISBN:  978-0-8218-2740-6
Product Code:  TRANS2/202
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3413-7
Product Code:  TRANS2/202.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-2740-6
eBook ISBN:  978-1-4704-3413-7
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 Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 2022001; 286 pp
    MSC: 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 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
     
     
    • 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 Pontryagin-Viro form
    • Michael Farber — Counting zeros of closed 1-forms
    • 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 6-manifolds
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 2022001; 286 pp
MSC: 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 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.

  • 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 Pontryagin-Viro form
  • Michael Farber — Counting zeros of closed 1-forms
  • 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 6-manifolds
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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