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

2014; 392 pp; Hardcover

MSC: Primary 00; 51; 53; 14; 55; 70; 76; 81; 39; 17; 37;

Print ISBN: 978-1-4704-1871-7

Product Code: TRANS2/234

Print ISBN: 978-1-4704-1871-7

Product Code: TRANS2/234

List Price: $199.00

Individual Member Price: $159.20

**Electronic ISBN: 978-1-4704-1935-6
Product Code: TRANS2/234.E**

List Price: $199.00

Individual Member Price: $159.20

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# Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov’s Seminar 2012–2014

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

Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 2012–2014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.

#### Table of Contents

# Table of Contents

## Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012-2014

- Cover Cover11
- Title page iii4
- Copyright page iv5
- Frontispiece v6
- Contents vii8
- Preface ix10
- Algebras of conjugacy classes of partial elements 114
- Harmonic spheres in the Hilbert–Schmidt Grassmannian 1326
- On uniformly rational varieties 3346
- IST of KPII equation for perturbed multisoliton solutions 4962
- Hopf algebras and homology of loop suspension spaces 7588
- Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces 93106
- Pencils of conics and biquadratics, and integrability 117130
- Gromov–Witten invariants and integrable hierarchies of topological type 141154
- On typical leaves of a measured foliated 2-complex of thin type 173186
- Volume of a simplex as a multivalued algebraic function of the areas of its two-faces 201214
- Discrete analogues of Dirac’s magnetic monopole and binary polyhedral groups 223236
- Geometric constructions on the algebra of densities 241254
- Amoebas, Ronkin function, and Monge-Ampère measures of algebraic curves with marked points 265278
- The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases 279292
- Periodic and rapid decay rank two self-adjoint commuting differential operators 309322
- Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients 323336
- Classical mechanical systems with one-and-a-half degrees of freedom and Vlasov kinetic equation 337350
- Lax operator algebras of type 𝐺₂ 373386
- Back Cover Back Cover1408

#### Readership

Graduate students and research mathematicians interested in applications of geometry and topology to mathematical physics.