Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations
Abstract
The Hamiltonian theory of isomonodromy equations for meromorphic connections with irregular singularities on algebraic curves is constructed. An explicit formula for the symplectic structure on the space of monodromy and Stokes matrices is obtained. The Whitham equations for the isomonodromy equations are derived. It is shown that they provide a flat connection on the space of the spectral curves of the Hitchin systems.
 Publication:

arXiv eprints
 Pub Date:
 December 2001
 DOI:
 10.48550/arXiv.hepth/0112096
 arXiv:
 arXiv:hepth/0112096
 Bibcode:
 2001hep.th...12096K
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry