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Advances in the Mathematical Sciences
Solitons, Geometry, and Topology: On the Crossroad
Edited by: V. M. Buchstaber, Moscow State University, Russia, and S. P. Novikov, University of Maryland, College Park, MD
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American Mathematical Society Translations--Series 2
Advances in the Mathematical Sciences
1997; 189 pp; hardcover
Volume: 179
ISBN-10: 0-8218-0666-1
ISBN-13: 978-0-8218-0666-1
List Price: US$108
Member Price: US$86.40
Order Code: TRANS2/179
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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.

Readership

Graduate students and research mathematicians interested in topology, integrable system theory, function analysis, and mathematical and theoretical physics.

Table of Contents

  • V. M. Buchstaber, V. Z. Enolskiĭ, and D. V. Leĭkin -- Hyperelliptic Kleinian functions and applications
  • B. Dubrovin -- Functionals of the Peierls-Fröhlich type and the variational principle for the Whitham equations
  • I. A. Dynnikov -- Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples
  • T. Q. Le -- An invariant of integral homology 3-spheres which is universal for all finite type invariants
  • D. V. Millionshchikov -- Krichever-Novikov algebras and the cohomology of the algebra of meromorphic vector fields
  • S. P. Novikov and A. P. Veselov -- Exactly solvable two-dimensional Schrödinger operators and Laplace transformations
  • I. A. Taimanov -- Modified Novikov-Veselov equation and differential geometry of surfaces
  • T. Voronov -- Supermanifold forms and integration. A dual theory
  • A. Zorich -- On hyperplane sections of periodic surfaces
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