| 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 |
| 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 |
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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 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.
ReadershipGraduate students and research mathematicians interested in topology, geometry, dynamics and measure theory.
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Table of Contents
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Chapters
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A. M. Vershik — Vladimir Abramovich Rokhlin
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A. M. Vershik — A. Rokhlin and the modern theory of measurable partitions
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Jørgen Ellegaard Andersen and Vladimir Turaev — Higher skein modules, II
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F. Bihan — Betti numbers of real numerical quintic surfaces
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Alexander Bufetov — Markov averaging and ergodic theorems for several operators
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Zaqueu Coelho and William Parry — Ergodicity of $p$-adic multiplications and the distribution of Fibonacci numbers
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Alexander Degtyarev — On the Pontryagin-Viro form
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Michael Farber — Counting zeros of closed 1-forms
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Sergey Finashin — Rokhlin’s question and smooth quotients by complex conjugation of singular real algebraic surfaces
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Ilia Itenberg — On the number of even ovals of a nonsingular curve of even degree in $\mathbb {R}P^2$
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Nikolai V. Ivanov — Isometries of Teichmüller spaces from the point of view of Mostow rigidity
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Vadim A. Kaimanovich — Equivalence relations with amenable leaves need not be amenable
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V. Kharlamov, J.-J. Risler and E. Shustin — Maximal smoothings of real plane curve singular points
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Yuri Kifer — On the topological pressure for random bundle transformations
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S. Yu. Orevkov — Complex orientations of $M$-curves of degree 7
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Mark Pollicott and Richard Sharp — Poincaré series and comparison theorems for variable negative curvature
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Oleg Viro — Encomplexing the writhe
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Benjamin Weiss — Monotileable amenable groups
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A. V. Zhubr — Spin bordism of oriented manifolds and the Hauptvermutung for 6-manifolds
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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 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.
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
