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

2004; 324 pp; Hardcover

MSC: Primary 00; Secondary 58

Print ISBN: 978-0-8218-3613-2

Product Code: TRANS2/212

Print ISBN: 978-0-8218-3613-2

Product Code: TRANS2/212

List Price: $131.00

AMS Member Price: $104.80

MAA Member Price: $117.90

**Electronic ISBN: 978-1-4704-3423-6
Product Code: TRANS2/212.E**

List Price: $131.00

AMS Member Price: $104.80

MAA Member Price: $117.90

# Geometry, Topology, and Mathematical Physics

Share this page *Edited by *
*V. M. Buchstaber; I. M. Krichever*

This volume contains a selection of papers based on
presentations given at the S. P. Novikov seminar held at the Steklov
Mathematical Institute in Moscow. Topics and speakers were chosen by
the well-known expert, S. P. Novikov, one of the leading mathematicians
of the twentieth century. His diverse interests are the tradition of
the seminar and are reflected in the topics presented in the book.

The book begins with Novikov's paper analyzing the position of
mathematics and theoretical physics at the beginning of the new
millennium. Following is an interview with Novikov published in the
Newsletter of the European Mathematical Society presenting the
genesis of many of his ideas and his scientific school. The remaining
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.

#### Readership

Graduate students and research mathematicians interested in mathematical physics, geometry, and topology.

# Table of Contents

## Geometry, Topology, and Mathematical Physics

- Cover Cover11
- Frontispiece ii3
- Title page iii4
- Copyright page iv5
- Contents v6
- Preface vii8
- The second half of the 20th century and its conclusion: Crisis in the physics and mathematics community in Russia and in the West 110
- Interview with Sergey P. Novikov 2534
- The 𝑤-function of the KdV hierarchy 4150
- On the zeta functions of a meromorphic germ in two variables 6776
- On almost duality for Frobenius manifolds 7584
- Finitely presented semigroups in knot theory. Oriented case 133142
- Topological robotics: Subspace arrangements and collision free motion planning 145154
- The initial-boundary value problem on the interval for the nonlinear Schrödinger equation. The algebro-geometric approach. I 157166
- On odd Laplace operators. II 179188
- From 2D Toda hierarchy to conformal maps for domains of the Riemann sphere 207216
- Integrable chains on algebraic curves 219228
- Fifteen years of KAM for PDE 237246
- Graded filiform Lie algebras and symplectic nilmanifolds 259268
- Adiabatic limit in the Seiberg–Witten equations 281290
- Affine Krichever–Novikov algebras, their representations and applications 297306
- Tame integrals of motion and o-minimal structures 317326
- Back Cover Back Cover1336