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List Price:  $199.00 
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Hardcover ISBN:  9781470418717 
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Hardcover ISBN:  9781470418717 
Product Code:  TRANS2/234 
List Price:  $199.00 
MAA Member Price:  $179.10 
AMS Member Price:  $159.20 
eBook ISBN:  9781470419356 
Product Code:  TRANS2/234.E 
List Price:  $199.00 
MAA Member Price:  $179.10 
AMS Member Price:  $159.20 
Hardcover ISBN:  9781470418717 
eBook ISBN:  9781470419356 
Product Code:  TRANS2/234.B 
List Price:  $398.00 $298.50 
MAA Member Price:  $358.20 $268.65 
AMS Member Price:  $318.40 $238.80 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 234; 2014; 392 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in applications of geometry and topology to mathematical physics.

Table of Contents

Chapters

Andrei V. Alexeevski and Sergey M. Natanzon  Algebras of conjugacy classes of partial elements

Iulia Beloshapka and Armen Sergeev  Harmonic spheres in the Hilbert–Schmidt Grassmannian

Fedor Bogomolov and Christian Böhning  On uniformly rational varieties

M. Boiti, F. Pempinelli and A. K. Pogrebkov  IST of KPII equation for perturbed multisoliton solutions

Victor Buchstaber and Jelena Grbić  Hopf algebras and homology of loop suspension spaces

Leonid O. Chekhov and Marta Mazzocco  Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces

Vladimir Dragović  Pencils of conics and biquadratics, and integrability

B. Dubrovin  Gromov–Witten invariants and integrable hierarchies of topological type

Ivan Dynnikov and Alexandra Skripchenko  On typical leaves of a measured foliated 2complex of thin type

Alexander A. Gaifullin  Volume of a simplex as a multivalued algebraic function of the areas of its twofaces

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 MongeAmpère measures of algebraic curves with marked points

A. Ya. Maltsev  The averaging of multidimensional Poisson brackets for systems having pseudophases

Andrey E. Mironov  Periodic and rapid decay rank two selfadjoint commuting differential operators

O. I. Mokhov  Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients

Maxim V. Pavlov and Sergey P. Tsarev  Classical mechanical systems with oneandahalf degrees of freedom and Vlasov kinetic equation

Oleg K. Sheinman  Lax operator algebras of type $G_2$


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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.

Chapters

Andrei V. Alexeevski and Sergey M. Natanzon  Algebras of conjugacy classes of partial elements

Iulia Beloshapka and Armen Sergeev  Harmonic spheres in the Hilbert–Schmidt Grassmannian

Fedor Bogomolov and Christian Böhning  On uniformly rational varieties

M. Boiti, F. Pempinelli and A. K. Pogrebkov  IST of KPII equation for perturbed multisoliton solutions

Victor Buchstaber and Jelena Grbić  Hopf algebras and homology of loop suspension spaces

Leonid O. Chekhov and Marta Mazzocco  Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces

Vladimir Dragović  Pencils of conics and biquadratics, and integrability

B. Dubrovin  Gromov–Witten invariants and integrable hierarchies of topological type

Ivan Dynnikov and Alexandra Skripchenko  On typical leaves of a measured foliated 2complex of thin type

Alexander A. Gaifullin  Volume of a simplex as a multivalued algebraic function of the areas of its twofaces

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 MongeAmpère measures of algebraic curves with marked points

A. Ya. Maltsev  The averaging of multidimensional Poisson brackets for systems having pseudophases

Andrey E. Mironov  Periodic and rapid decay rank two selfadjoint commuting differential operators

O. I. Mokhov  Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients

Maxim V. Pavlov and Sergey P. Tsarev  Classical mechanical systems with oneandahalf degrees of freedom and Vlasov kinetic equation

Oleg K. Sheinman  Lax operator algebras of type $G_2$