{
  "id": "2108.08994",
  "version": "v1",
  "published": "2021-08-20T04:21:28.000Z",
  "updated": "2021-08-20T04:21:28.000Z",
  "title": "Moduli Spaces of Parabolic Bundles over $\\mathbb{P}^1$ with Five Marked Points",
  "authors": [
    "Zhi Hu",
    "Pengfei Huang",
    "Runhong Zong"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "This paper considers the moduli spaces (stacks) of parabolic bundles (parabolic logarithmic flat bundles with given spectrum, parabolic regular Higgs bundles) with rank 2 and degree 1 over $\\mathbb{P}^1$ with five marked points. The stratification structures on these moduli spaces (stacks) are investigated. We confirm Simpson's foliation conjecture of moduli space of parabolic logarithmic flat bundles for our case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-20T04:21:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli space",
      "parabolic bundles",
      "marked points",
      "parabolic logarithmic flat bundles",
      "parabolic regular higgs bundles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}