%0 Generic %1 fan2020construction %A Fan, Yue %D 2020 %K higgs %T Construction of the Moduli Space of Higgs Bundles using Analytic Methods %U http://arxiv.org/abs/2004.07182 %X 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.

@misc{fan2020construction, 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.}, added-at = {2020-06-03T08:53:36.000+0200}, author = {Fan, Yue}, biburl = {https://www.bibsonomy.org/bibtex/2472956a3165558fdd3fab54bbee058c2/simonechiarello}, description = {Construction of the Moduli Space of Higgs Bundles using Analytic Methods}, interhash = {defad561697d187684aa5fe5bf3165de}, intrahash = {472956a3165558fdd3fab54bbee058c2}, keywords = {higgs}, note = {cite arxiv:2004.07182Comment: results unchanged, revised argument in Theorem 3.6, and improved exposition}, timestamp = {2020-06-03T08:53:36.000+0200}, title = {Construction of the Moduli Space of Higgs Bundles using Analytic Methods}, url = {http://arxiv.org/abs/2004.07182}, year = 2020 }