{
  "id": "1403.7736",
  "version": "v1",
  "published": "2014-03-30T11:18:09.000Z",
  "updated": "2014-03-30T11:18:09.000Z",
  "title": "On genera of Lefschetz fibrations and finitely presented groups",
  "authors": [
    "Ryoma Kobayashi"
  ],
  "comment": "24 pages, 17 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "It is known that every finitely presented group is the fundamental group of the total space of a Lefschetz fibration. In this paper, we give another proof which improves the result of Korkmaz. In addition, Korkmaz defined the genus of a finitely presented group. We also evaluate upper bounds for genera of some finitely presented groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-30T11:18:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N13",
      "57M05"
    ],
    "keywords": [
      "lefschetz fibration",
      "evaluate upper bounds",
      "total space",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.7736K"
    }
  }
}