2D Toda Chain, Commuting Difference Operators and Holomorphic Bundles
Mathematical Physics
2015-06-26 v1 High Energy Physics - Theory
Algebraic Geometry
math.MP
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).
Cite
@article{arxiv.math-ph/0308019,
title = {2D Toda Chain, Commuting Difference Operators and Holomorphic Bundles},
author = {I. M. Krichever and S. P. Novikov},
journal= {arXiv preprint arXiv:math-ph/0308019},
year = {2015}
}
Comments
36 pages, Latex