**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1997; 189 pp; Hardcover

MSC: Primary 35; 57; 58; 81; Secondary 16

Print ISBN: 978-0-8218-0666-1

Product Code: TRANS2/179

Print ISBN: 978-0-8218-0666-1

Product Code: TRANS2/179

List Price: $114.00

AMS Member Price: $91.20

MAA Member Price: $102.60

**Electronic ISBN: 978-1-4704-3390-1
Product Code: TRANS2/179.E**

List Price: $114.00

AMS Member Price: $91.20

MAA Member Price: $102.60

# Solitons, Geometry, and Topology: On the Crossroad

Share this page *Edited by *
*V. M. Buchstaber; S. P. Novikov*

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

## Solitons, Geometry, and Topology: On the Crossroad

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- Preface ix10
- Hyperelliptic Kleinian functions and applications 112
- Functionals of the Peierls-Frölich type and the variational principle for the Whitham equations 3546
- Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples 4556
- An invariant of integral homology 3-spheres which is universal for all finite type invariants 7586
- Krichever-Novikov algebras and the cohomology of the algebra of meromorphic vector fields 101112
- Exactly solvable two-dimensional Schrödinger operators and Laplace transformations 109120
- Modified Novikov-Veselov equation and differential geometry of surfaces 133144
- Supermanifold forms and integration. A dual theory 153164
- On hyperplane sections of periodic surfaces 173184
- Back Cover Back Cover1201