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Advances in the Mathematical Sciences
Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012-2014
Edited by: V. M. Buchstaber, Steklov Institute of Mathematics, Moscow, Russia, B. A. Dubrovin, SISSA, Trieste, Italy, and I. M. Krichever, Columbia University, New York, NY
American Mathematical Society Translations--Series 2
Advances in the Mathematical Sciences
2014; approx. 387 pp; hardcover
Volume: 234
ISBN-10: 1-4704-1871-1
ISBN-13: 978-1-4704-1871-7
List Price: US$199
Member Price: US$159.20
Order Code: TRANS2/234
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Not yet published.
Expected publication date is December 1, 2014.
See also:

Geometry, Topology, and Mathematical Physics - V M Buchstaber and I M Krichever

Geometry, Topology, and Mathematical Physics: S. P. Novikov's Seminar: 2006-2007 - V M Buchstaber and 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.


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

Table of Contents

  • A. V. Alexeevski and S. M. Natanzon -- Algebras of conjugacy classes of partial elements
  • I. Beloshapka and A. Sergeev -- Harmonic spheres in the Hilbert-Schmidt Grassmannian
  • F. Bogomolov and C. Böhning -- On uniformly rational varieties
  • M. Boiti, F. Pempinelli, and A. K. Pogrebkov -- IST of KPII equation for perturbed multisoliton solutions
  • V. Buchstaber and J. Grbić -- Hopf algebras and homology of loop suspension spaces
  • L. O. Chekhov and M. Mazzocco -- Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces
  • V. Dragović -- Pencils of conics and biquadratics, and integrability
  • B. Dubrovin -- Gromov-Witten invariants and integrable hierarchies of topological type
  • I. Dynnikov and A. Skripchenko -- On typical leaves of a measured foliated 2-complex of thin type
  • A. A. Gaifullin -- Volume of a simplex as a multivalued algebraic function of the areas of its two-faces
  • G. M. Kemp and A. P. Veselov -- Discrete analogues of Dirac's magnetic monopole and binary polyhedral groups
  • H. M. Khudaverdian and Th. Th. Voronov -- Geometric constructions on the algebra of densities
  • I. Krichever -- Amoebas, Ronkin function and Monge-Ampère measures of algebraic curves with marked points
  • A. Ya. Maltsev -- The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases
  • A. E. Mironov -- Periodic and rapid decay rank two self-adjoint commuting differential operators
  • O. I. Mokhov -- Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients
  • M. V. Pavlov and S. P. Tsarev -- Classical mechanical systems with one-and-a-half degrees of freedom and Vlasov kinetic equation
  • O. K. Sheinman -- Lax operator algebras of type \(G_2\)
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