The linear flows in the space of Krichever-Lax matrices over an algebraic curve
Dynamical Systems
2008-01-15 v1 Algebraic Geometry
Abstract
In \cite{kri02}, I. M. Krichever invented the space of matrices parametrizing the cotangent bundle of moduli space of stable vector bundles over a compact Riemann surface, which is named as the Hitchin system after the investigation \cite{hit87}. We study a necessary and sufficient condition for the linearity of flows on the space of Krichever-Lax matrices in a Lax representation in terms of cohomological classes using the similar technique and analysis from the work \cite{grif85} by P. A. Griffiths.
Keywords
Cite
@article{arxiv.0801.2012,
title = {The linear flows in the space of Krichever-Lax matrices over an algebraic curve},
author = {Taejung Kim},
journal= {arXiv preprint arXiv:0801.2012},
year = {2008}
}