Algebraic and hamiltonian approaches to isostokes deformations
Algebraic Geometry
2010-05-07 v3 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
We study a generalization of the isomonodromic deformation to the case of connections with irregular singularities. We call this generalization Isostokes Deformation. A new deformation parameter arises: one can deform the formal normal forms of connections at irregular points. We study this part of the deformation, giving an algebraic description. Then we show how to use loop groups and hypercohomology to write explicit hamiltonians. We work on an arbitrary complete algebraic curve, the structure group is an arbitrary semisimiple group.
Cite
@article{arxiv.math/0412121,
title = {Algebraic and hamiltonian approaches to isostokes deformations},
author = {Roman M. Fedorov},
journal= {arXiv preprint arXiv:math/0412121},
year = {2010}
}
Comments
23 pages, minor corrections in the introduction, references expanded