{
  "id": "2007.02524",
  "version": "v1",
  "published": "2020-07-06T05:00:58.000Z",
  "updated": "2020-07-06T05:00:58.000Z",
  "title": "The moduli space of stable rank 2 parabolic bundles over an elliptic curve with 3 marked points",
  "authors": [
    "David Boozer"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AG",
    "math.GT",
    "math.SG"
  ],
  "abstract": "We explicitly describe the moduli space $M^s(X,3)$ of stable rank 2 parabolic bundles over an elliptic curve $X$ with trivial determinant bundle and 3 marked points. Specifically, we exhibit $M^s(X,3)$ as a blow-up of an embedded elliptic curve in $(\\mathbb{CP}^1)^3$. The moduli space $M^s(X,3)$ can also be interpreted as the $SU(2)$ character variety of the 3-punctured torus. Our description of $M^s(X,3)$ reproduces the known Poincar\\'{e} polynomial for this space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-06T05:00:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60",
      "14H52"
    ],
    "keywords": [
      "moduli space",
      "parabolic bundles",
      "stable rank",
      "marked points",
      "trivial determinant bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}