2D Toda Chain, Commuting Difference Operators and Holomorphic Bundles

Details 2D Toda Chain, Commuting Difference Operators and Holomorphic Bundles 2D Toda Chain, Commuting Difference Operators and Holomorphic Bundles

2003-08-16

arxiv.org/abs/math-ph/0308019v1

Russ.Math.Surveys 58 (2003) 51-88

Physics

Mathematical Physics

36 pages, Latex

Scientific paper

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).

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