{
  "id": "2005.13649",
  "version": "v1",
  "published": "2020-05-27T20:55:46.000Z",
  "updated": "2020-05-27T20:55:46.000Z",
  "title": "The Orbit Type Stratification OF the Moduli Space of Higgs Bundles",
  "authors": [
    "Yue Fan"
  ],
  "comment": "22 pages",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "The moduli space of Higgs bundles can be constructed as a quotient of an infinite-dimensional space and hence admits an orbit type decomposition. In this paper, we show that the orbit type decomposition is a complex Whitney stratification such that each stratum is a complex symplectic submanifold and hence admits a complex Poisson bracket. Moreover, these Poisson brackets glue to a Poisson bracket on the structure sheaf of the moduli space so that the moduli space is a stratified complex symplectic space",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-27T20:55:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli space",
      "orbit type stratification",
      "higgs bundles",
      "complex symplectic space",
      "orbit type decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}