Wild nonabelian Hodge theory on curves
Differential Geometry
2007-05-23 v3 Algebraic Geometry
Abstract
On a complex curve, we establish a correspondence between integrable connections with irregular singularities, and Higgs bundles such that the Higgs field is meromorphic with poles of any order. The moduli spaces of these objects are obtained by fixing at each singularity the polar part of the connection. We prove that they carry hyperKahler metrics, which are complete when the residue of the connection if semisimple.
Cite
@article{arxiv.math/0111098,
title = {Wild nonabelian Hodge theory on curves},
author = {Olivier Biquard and Philip Boalch},
journal= {arXiv preprint arXiv:math/0111098},
year = {2007}
}
Comments
More on moduli spaces