Construction of the Moduli Space of Higgs Bundles using Analytic Methods
Differential Geometry
2020-06-02 v2 Algebraic Geometry
Abstract
It is a folklore theorem that the Kuranishi slice method can be used to construct the moduli space of semistable Higgs bundles on a closed Riemann surface as a complex space. The purpose of this paper is to provide a proof in detail. We also give a direct proof that the moduli space is locally modeled on an affine GIT quotient of a quadratic cone by a complex reductive group.
Cite
@article{arxiv.2004.07182,
title = {Construction of the Moduli Space of Higgs Bundles using Analytic Methods},
author = {Yue Fan},
journal= {arXiv preprint arXiv:2004.07182},
year = {2020}
}
Comments
results unchanged, revised argument in Theorem 3.6, and improved exposition