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Softcover ISBN:  9781470456641 
Product Code:  CONM/772 
List Price:  $122.00 
MAA Member Price:  $109.80 
AMS Member Price:  $97.60 
eBook ISBN:  9781470464516 
Product Code:  CONM/772.E 
List Price:  $122.00 
MAA Member Price:  $109.80 
AMS Member Price:  $97.60 
Softcover ISBN:  9781470456641 
eBook ISBN:  9781470464516 
Product Code:  CONM/772.B 
List Price:  $244.00 $183.00 
MAA Member Price:  $219.60 $164.70 
AMS Member Price:  $195.20 $146.40 

Book DetailsContemporary MathematicsVolume: 772; 2021; 345 ppMSC: Primary 14; 28; 52; 55; 57
Vladimir Abramovich Rokhlin (8/23/1919–12/03/1984) was one of the leading Russian mathematicians of the second part of the twentieth century. His main achievements were in algebraic topology, real algebraic geometry, and ergodic theory.
The volume contains the proceedings of the Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin100, held from August 19–23, 2019, at The Euler International Mathematics Institute and the Steklov Institute of Mathematics, St. Petersburg, Russia.
The articles deal with topology of manifolds, theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems and related topics. The book also contains Rokhlin's biography supplemented with copies of actual very interesting documents.
ReadershipGraduate students and research mathematicians interested in Hopf algebras, tensor categories and their applications, lowdimensional topology, algebraic and differential geometry, and ergodic theorems.

Table of Contents

Articles

A. M. Vershik — V. A. Rokhlin (23 August 1919–3 December 1984), materials for the biography

V. A. Rokhlin — Teaching mathematics to nonmathematicians

Victor M. Buchstaber — Vladimir Abramovich Rokhlin and algebraic topology

Theo Bühler and Vadim A. Kaimanovich — Amenability of groupoids and asymptotic invariance of convolution powers

Alex Degtyarev, Vincent Florens and Ana G. Lecuona — Slopes of links and signature formulas

Nikolai Yu. Erokhovets — $B$rigidity of the property to be an almost Pogorelov polytope

S. Finashin and V. Kharlamov — The first homology of a real cubic is generated by lines

Eli Glasner and Michael Megrelishvili — Circular orders, ultrahomogeneous order structures, and their automorphism groups

B. M. Gurevich — Convergence of equilibrium measures corresponding to finite subgraphs of infinite graphs: New examples

V. Kharlamov and V. Shevchishin — Antisymplectic involutions on rational symplectic 4manifolds

Roman Krutowski and Taras Panov — Dolbeault cohomology of complex manifolds with torus action

Eunjeong Lee, Mikiya Masuda, Seonjeong Park and Jongbaek Song — Poincaré polynomials of generic torus orbit closures in Schubert varieties

Ivan Limonchenko and Dmitry Millionshchikov — Higher order Massey products and applications

G. A. Margulis and G. A. Soifer — Discreteness of deformations of cocompact discrete subgroups

Sergey A. Melikhov — Topological isotopy and Cochran’s derived invariants

Alexander S. Mishchenko — Geometric description of the Hochschild cohomology of group algebras

A. Skopenkov — A user’s guide to basic knot and link theory

Anatoly Stepin and Sergey Tikhonov — Group actions: Entropy, mixing, spectra, and generic properties

Dennis Sullivan — Rokhlin’s theorem, a problem and a conjecture

V. I. Zvonilov — Maximally inflected real trigonal curves on Hirzebruch surfaces


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Vladimir Abramovich Rokhlin (8/23/1919–12/03/1984) was one of the leading Russian mathematicians of the second part of the twentieth century. His main achievements were in algebraic topology, real algebraic geometry, and ergodic theory.
The volume contains the proceedings of the Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin100, held from August 19–23, 2019, at The Euler International Mathematics Institute and the Steklov Institute of Mathematics, St. Petersburg, Russia.
The articles deal with topology of manifolds, theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems and related topics. The book also contains Rokhlin's biography supplemented with copies of actual very interesting documents.
Graduate students and research mathematicians interested in Hopf algebras, tensor categories and their applications, lowdimensional topology, algebraic and differential geometry, and ergodic theorems.

Articles

A. M. Vershik — V. A. Rokhlin (23 August 1919–3 December 1984), materials for the biography

V. A. Rokhlin — Teaching mathematics to nonmathematicians

Victor M. Buchstaber — Vladimir Abramovich Rokhlin and algebraic topology

Theo Bühler and Vadim A. Kaimanovich — Amenability of groupoids and asymptotic invariance of convolution powers

Alex Degtyarev, Vincent Florens and Ana G. Lecuona — Slopes of links and signature formulas

Nikolai Yu. Erokhovets — $B$rigidity of the property to be an almost Pogorelov polytope

S. Finashin and V. Kharlamov — The first homology of a real cubic is generated by lines

Eli Glasner and Michael Megrelishvili — Circular orders, ultrahomogeneous order structures, and their automorphism groups

B. M. Gurevich — Convergence of equilibrium measures corresponding to finite subgraphs of infinite graphs: New examples

V. Kharlamov and V. Shevchishin — Antisymplectic involutions on rational symplectic 4manifolds

Roman Krutowski and Taras Panov — Dolbeault cohomology of complex manifolds with torus action

Eunjeong Lee, Mikiya Masuda, Seonjeong Park and Jongbaek Song — Poincaré polynomials of generic torus orbit closures in Schubert varieties

Ivan Limonchenko and Dmitry Millionshchikov — Higher order Massey products and applications

G. A. Margulis and G. A. Soifer — Discreteness of deformations of cocompact discrete subgroups

Sergey A. Melikhov — Topological isotopy and Cochran’s derived invariants

Alexander S. Mishchenko — Geometric description of the Hochschild cohomology of group algebras

A. Skopenkov — A user’s guide to basic knot and link theory

Anatoly Stepin and Sergey Tikhonov — Group actions: Entropy, mixing, spectra, and generic properties

Dennis Sullivan — Rokhlin’s theorem, a problem and a conjecture

V. I. Zvonilov — Maximally inflected real trigonal curves on Hirzebruch surfaces