Search

Your search keyword '"I. M. Krichever"' showing total 7 results
Start Over Author "I. M. Krichever"
7 results on '"I. M. Krichever"'

1. Geometry, Topology, and Mathematical Physics

Author

V. M. Buchstaber, I. M. Krichever, V. M. Buchstaber, and I. M. Krichever

Abstract

This volume contains a selection of papers based on presentations given in 2006–2007 at the S. P. Novikov Seminar at the Steklov Mathematical Institute in Moscow. Novikov's diverse interests are reflected in the topics presented in the book. The articles address topics in geometry, topology, and mathematical physics. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.

Published
2016

2. Topology, Geometry, Integrable Systems, and Mathematical Physics

Author

V. M. Buchstaber, B. A. Dubrovin, I. M. Krichever, V. M. Buchstaber, B. A. Dubrovin, and I. M. Krichever

Abstract

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.

Published
2014

3. Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic bundles

Author

S. P. Novikov and I. M. Krichever

Subjects
symbols.namesake, Pure mathematics, Rank (linear algebra), Chain (algebraic topology), Discrete dynamics, General Mathematics, Riemann surface, symbols, Holomorphic function, Vector bundle, Algebraic curve, Toda lattice, Mathematics
Abstract

High rank solutions to the 2D Toda Lattice System are constructed simultaneously with the effective calculation of coefficients of the high rank commuting ordinary difference operators. Our technic is based on the study of discrete dynamics of Tyurin Parameters characterizing the stable holomorphic vector bundles over the algebraic curves (Riemann Surfaces).

Published
2003
Full Text
View/download PDF

4. Algebraic-geometricn-orthogonal curvilinear coordinate systems and solutions of the associativity equations

Author

I. M. Krichever

Subjects
Algebraic cycle, Curvilinear coordinates, Function field of an algebraic variety, Applied Mathematics, Coordinate system, Mathematical analysis, Field (mathematics), Theta function, Algebraic function, Algebraic curve, Analysis, Mathematics
Abstract

Algebraic-geometrical n-orthogonal curvilinear coordinate systems in a flat space are constructed. They are expressed in terms of the Riemann theta function of auxiliary algebraic curves. The exact formulae for the potentials of algebraic geometrical Egoroff metrics and the partition functions of the corresponding topological field theories are obtained.

Published
1997
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results