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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
I. M. Krichever Columbia University, New York, NY
Front Cover for Topology, Geometry, Integrable Systems, and Mathematical Physics
Available Formats:
Hardcover ISBN: 978-1-4704-1871-7
Product Code: TRANS2/234
392 pp 
List Price: $199.00
MAA Member Price: $179.10
AMS Member Price: $159.20
Electronic ISBN: 978-1-4704-1935-6
Product Code: TRANS2/234.E
392 pp 
List Price: $199.00
MAA Member Price: $179.10
AMS Member Price: $159.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $298.50
MAA Member Price: $268.65
AMS Member Price: $238.80
Front Cover for Topology, Geometry, Integrable Systems, and Mathematical Physics
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  • Front Cover for Topology, Geometry, Integrable Systems, and Mathematical Physics
  • Back Cover for Topology, Geometry, Integrable Systems, and Mathematical Physics
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
I. M. Krichever Columbia University, New York, NY
Available Formats:
Hardcover ISBN:  978-1-4704-1871-7
Product Code:  TRANS2/234
392 pp 
List Price: $199.00
MAA Member Price: $179.10
AMS Member Price: $159.20
Electronic ISBN:  978-1-4704-1935-6
Product Code:  TRANS2/234.E
392 pp 
List Price: $199.00
MAA Member Price: $179.10
AMS Member Price: $159.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $298.50
MAA Member Price: $268.65
AMS Member Price: $238.80
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 2342014
    MSC: Primary 00; 51; 53; 14; 55; 70; 76; 81; 39; 17;

    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.

    Readership

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

  • Table of Contents
     
     
    • Cover
    • Title page
    • Copyright page
    • Frontispiece
    • Contents
    • Preface
    • Algebras of conjugacy classes of partial elements
    • Harmonic spheres in the Hilbert–Schmidt Grassmannian
    • On uniformly rational varieties
    • IST of KPII equation for perturbed multisoliton solutions
    • Hopf algebras and homology of loop suspension spaces
    • Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces
    • Pencils of conics and biquadratics, and integrability
    • Gromov–Witten invariants and integrable hierarchies of topological type
    • On typical leaves of a measured foliated 2-complex of thin type
    • Volume of a simplex as a multivalued algebraic function of the areas of its two-faces
    • Discrete analogues of Dirac’s magnetic monopole and binary polyhedral groups
    • Geometric constructions on the algebra of densities
    • Amoebas, Ronkin function, and Monge-Ampère measures of algebraic curves with marked points
    • The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases
    • Periodic and rapid decay rank two self-adjoint commuting differential operators
    • Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients
    • Classical mechanical systems with one-and-a-half degrees of freedom and Vlasov kinetic equation
    • Lax operator algebras of type 𝐺₂
    • Back Cover
  • Additional Material
     
     
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Advances in the Mathematical Sciences
Volume: 2342014
MSC: Primary 00; 51; 53; 14; 55; 70; 76; 81; 39; 17;

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.

Readership

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

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