{
  "id": "1610.01122",
  "version": "v1",
  "published": "2016-10-04T18:43:29.000Z",
  "updated": "2016-10-04T18:43:29.000Z",
  "title": "Positive factorizations of symmetric mapping classes",
  "authors": [
    "Tetsuya Ito",
    "Keiko Kawamuro"
  ],
  "comment": "19 pages, 4 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study Question 7.9 in the paper \"Monoids in the mapping class group\" by Etnyre and Van Horn-Morris; whether a symmetric mapping class admitting a positive factorization is a lift of a quasi-positive braid. We answer affirmatively for mapping classes satisfying certain cyclic conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-04T18:43:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive factorization",
      "van horn-morris",
      "study question",
      "cyclic conditions",
      "mapping class group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}