Topology, geometry, integrable systems, and mathematical physics : Novikov's seminar, 2012-2014 / V.M. Buchstaber, B.A. Dubrovin, and I.M. Krichever, editors. Series 2, volume 234

Contributor(s): Novikov, S. P.;Buchstaber, V. M.,;Dubrovin, B. A.;Krichever, I. MMaterial type: Computer fileComputer fileSeries: American Mathematical Society Translations: Series 2Description: 1 online resource (1 online resource (xii, 392 pages) : illustrations.)ISBN: 9781470419356 (online)Subject(s): GeometryTopologyMathematical physicsOnline resources: Click here to access online
Contents:
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-Amp�ere 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
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"Articles in this collection ... are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 2012-2014"--Back cover.

Includes bibliographical references.

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-Amp�ere 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 _2

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