{
  "id": "2002.08213",
  "version": "v1",
  "published": "2020-02-19T14:39:01.000Z",
  "updated": "2020-02-19T14:39:01.000Z",
  "title": "On the orbifold fundamental group of the odd component of the stratum H(2,...,2)",
  "authors": [
    "Ursula Hamenstädt"
  ],
  "comment": "44 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let Sg be a closed oriented surface of genus g>2 and let G be the orbifold fundamental group of the odd component of the stratum PH(2,...,2) of projective abelian differentials on Sg. We show that G is a quotient of an explicit small type Artin group with 3g-2 generators. We also determine for all g>2 a generating set of the stabilizer of an odd spin structure in the mapping class group of Sg consisting of Dehn twists about an explicit collection of 2g+1 curves in Sg.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-19T14:39:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F30",
      "30F60",
      "20F36",
      "20F65"
    ],
    "keywords": [
      "orbifold fundamental group",
      "odd component",
      "explicit small type artin group",
      "odd spin structure",
      "explicit collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}