Geometry, Topology, and Mathematical Physics : S. P. Novikov's Seminar : 2006-2007

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Bibliographic Information

Geometry, Topology, and Mathematical Physics : S. P. Novikov's Seminar : 2006-2007

V.M. Buchstaber, I.M. Krichever, editors

(American Mathematical Society translations, ser. 2, v. 224 . Advances in the mathematical sciences (formerly Advances in Soviet mathematics) ; 61)

American mathematical society, c2008

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Includes bibliographical references

Description and Table of Contents

Description

This volume contains a selection of papers based on presentations given in 2006-2007 at the S. P. Novikov Seminar at the Steklov Mathematical Institute in Moscow. Novikov's diverse interests are reflected in the topics presented in the book. The articles address topics in geometry, topology, and mathematical physics. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.

Table of Contents

Hurwitz numbers for regular coverings of surfaces by seamed surfaces and Cardy-Frobenius algebras of fintie groups by A. V. Alexeevski and S. M. Natanzon Equivariant complex structures on homogeneous spaces and their cobordism classes by V. M. Buchstaber and S. Terzic On universality of critical behaviour in Hamiltonian PDEs by B. Dubrovin On the geometry of $\vee$-systems by M. Feigin and A.P. Veselov Spectral conservation laws for periodic nonlinear equations of the Melnikov type by P. G. Grinevich and I. A. Taimanov An equivariant version of the monodromy zeta function by S. M. Gusein-Zade, I. Luengo, and A. Melle-Hernandez Symplectic $\mathcal{A}_\infty$-algebras and string topology operations by A. Hamilton and A. Lazarev Differential forms and odd symplectic geometry by H. M. Khudaverdian and T. T. Voronov Abelian solutions of the KP equation by I. Krichever and T. Shiota Deformations of the Whitham systems in the almost linear case by A. Y. Maltsev Frobenius manifolds as a special class of submanifolds in pseudo-Euclidean spaces by O. I. Mokhov Integrability of the Gibbons-Tsarev system by M. V. Pavlov 2D toda chain and associated commutator identity by A. K. Pogrebkov On certain current algebras related to finite-zone integration by O. K. Sheinman.

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