Solitons, Geometry, and Topology: On the Crossroad

Solitons, Geometry, and Topology: On the Crossroad

by V.M. M. Buchstaber
     
 

This collection contains articles reflecting the most recent activity in topology and mathematical physics presented at the S. Novikov Seminar held in Moscow. Papers in the volume are devoted to problems in geometry, topology, and mathematical physics, including applications of topology to physical problems. Such a combination is a long-standing tradition of the

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Overview

This collection contains articles reflecting the most recent activity in topology and mathematical physics presented at the S. Novikov Seminar held in Moscow. Papers in the volume are devoted to problems in geometry, topology, and mathematical physics, including applications of topology to physical problems. Such a combination is a long-standing tradition of the seminar, which originated in 1965.

Product Details

ISBN-13:
9780821806661
Publisher:
American Mathematical Society
Publication date:
03/11/1997
Series:
American Mathematical Society Translations Series, #179
Pages:
189

Table of Contents

Preface
Hyperelliptic Kleinian functions and applications1
Functionals of the Peierls-Frohlich type and the variational principle for the Whitham equations35
Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples45
An invariant of integral homology 3-spheres which is universal for all finite type invariants75
Krichever-Novikov algebras and the cohomology of the algebra of meromorphic vector fields101
Exactly solvable two-dimensional Schrodinger operators and Laplace transformations109
Modified Novikov-Veselov equation and differential geometry of surfaces133
Supermanifold forms and integration. A dual theory153
On hyperplane sections of periodic surfaces173

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