{
  "id": "2004.07182",
  "version": "v1",
  "published": "2020-04-15T16:08:38.000Z",
  "updated": "2020-04-15T16:08:38.000Z",
  "title": "Construction of the Moduli Space of Higgs Bundles using Analytic Methods",
  "authors": [
    "Yue Fan"
  ],
  "categories": [
    "math.DG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-15T16:08:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli space",
      "analytic methods",
      "construction",
      "affine git quotient",
      "kuranishi slice method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}