Vector bundles and Lax equations on algebraic curves
High Energy Physics - Theory
2009-11-07 v1 Algebraic Geometry
Abstract
The Hamiltonian theory of zero-curvature equations with spectral parameter on an arbitrary compact Riemann surface is constructed. It is shown that the equations can be seen as commuting flows of an infinite-dimensional field generalization of the Hitchin system. The field analog of the elliptic Calogero-Moser system is proposed. An explicit parameterization of Hitchin system based on the Tyurin parameters for stable holomorphic vector bundles on algebraic curves is obtained.
Cite
@article{arxiv.hep-th/0108110,
title = {Vector bundles and Lax equations on algebraic curves},
author = {Igor Krichever},
journal= {arXiv preprint arXiv:hep-th/0108110},
year = {2009}
}
Comments
Latex, 42pages