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arXiv · 2004.07182

Construction of the Moduli Space of Higgs Bundles using Analytic Methods

Yue Fan
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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.

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Yue Fan. 2020-04-15. Construction of the Moduli Space of Higgs Bundles using Analytic Methods. https://arxiv.org/abs/2004.07182

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