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

1995; 206 pp; Hardcover

MSC: Primary 35; 57; 58; Secondary 16

Print ISBN: 978-0-8218-0455-1

Product Code: TRANS2/170

Print ISBN: 978-0-8218-0455-1

Product Code: TRANS2/170

List Price: $114.00

Individual Member Price: $91.20

**Electronic ISBN: 978-1-4704-3381-9
Product Code: TRANS2/170.E**

List Price: $114.00

Individual Member Price: $91.20

# Topics in Topology and Mathematical Physics

Share this page *Edited by *
*S. P. Novikov*

The papers in this collection grew out of talks recently presented at S. P. Novikov's seminar on topology and mathematical physics in Moscow. They are devoted to various problems in the theory of completely integrable systems and relations to topology, algebra, and mathematical physics.

#### Readership

Researchers and graduate students working in the corresponding areas of mathematics.

# Table of Contents

## Topics in Topology and Mathematical Physics

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- The S. P. Novikov seminar 110
- Semigroups of maps into groups, operator doubles, and complex cobordisms 918
- Nonlocal Hamiltonian operators of hydrodynamic type: Differential geometry and applications 3342
- Nonselfintersecting magnetic orbits on the plane. Proof of the overthrowing of cycles principle 5968
- Spin generalization of the Calogero-Moser system and the matrix KP equation 8392
- Symplectic and Poisson geometry on loop spaces of manifolds and nonlinear equations 121130
- Real nonsingular finite zone solutions of soliton equations 153162
- Representations of Krichever-Novikov algebras 185194
- Huygens’ principle and algebraic Schrödinger operators 199208
- Back Cover Back Cover1217