{
  "id": "math/9912248",
  "version": "v1",
  "published": "1999-12-17T00:00:00.000Z",
  "updated": "1999-12-17T00:00:00.000Z",
  "title": "An elementary approach to the mapping class group of a surface",
  "authors": [
    "Bronislaw Wajnryb"
  ],
  "comment": "62 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper17.abs.html",
  "journal": "Geom. Topol. 3 (1999), 405-466",
  "categories": [
    "math.GT"
  ],
  "abstract": "We consider an oriented surface S and a cellular complex X of curves on S, defined by Hatcher and Thurston in 1980. We prove by elementary means, without Cerf theory, that the complex X is connected and simply connected. From this we derive an explicit simple presentation of the mapping class group of S, following the ideas of Hatcher-Thurston and Harer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-12-17T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F05",
      "20F34",
      "57M05",
      "20F38",
      "57M60"
    ],
    "keywords": [
      "mapping class group",
      "elementary approach",
      "explicit simple presentation",
      "cellular complex",
      "elementary means"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 62,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}