Topology, ergodic theory, real algebraic geometry : Rokhlin's memorial
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Bibliographic Information
Topology, ergodic theory, real algebraic geometry : Rokhlin's memorial
（American Mathematical Society translations, ser. 2,
American Mathematical Society, c2001
Available at / 50 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C(*)||AMS-1||20201002203
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:514.2/T842070528692
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Includes bibliographies
Description and Table of Contents
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 Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles of historical interest.
Table of Contents
Vladimir Abramovich Rokhlin by A. M. Vershik V. A. Rokhlin and the modern theory of measurable partitions by A. M. Vershik Higher skein modules, II by J. E. Andersen and V. Turaev Betti numbers of real numerical quintic surfaces by F. Bihan Markov averaging and ergodic theorems for several operators by A. Bufetov Ergodicity of $p$-adic multiplications and the distribution of Fibonacci numbers by Z. Coelho and W. Parry On the Pontryagin-Viro form by A. Degtyarev Counting zeros of closed 1-forms by M. Farber Rokhlin's question and smooth quotients by complex conjugation of singular real algebraic surfaces by S. Finashin On the number of even ovals of a nonsingular curve of even degree in $\mathbb{R}P^2$ by I. Itenberg Isometries of Teichmuller spaces from the point of view of Mostow rigidity by N. V. Ivanov Equivalence relations with amenable leaves need not be amenable by V. A. Kaimanovich Maximal smoothings of real plane curve singular points by V. Kharlamov, J.-J. Risler, and E. Shustin On the topological pressure for random bundle transformations by Y. Kifer Complex orientations of $M$-curves of degree 7 by S. Yu. Orevkov Poincare series and comparison theorems for variable negative curvature by M. Pollicott and R. Sharp Encomplexing the writhe by O. Viro Monotileable amenable groups by B. Weiss Spin bordism of oriented manifolds and the Hauptvermutung for 6-manifolds by A. V. Zhubr.
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