{
  "id": "math/9801025",
  "version": "v1",
  "published": "1998-01-07T14:49:53.000Z",
  "updated": "1998-01-07T14:49:53.000Z",
  "title": "A Presentation of the Mapping Class Groups",
  "authors": [
    "Feng Luo"
  ],
  "journal": "Mathematical Research Letters, Vol. 4, 1997, 735-739.",
  "categories": [
    "math.GT"
  ],
  "abstract": "Using the works of Gervais, Harer, Hatcher and Thurston and others, we show that the mapping class group of a compact orientable surface has a presentation so that the generators are the set of all Dehn twists and the relations are supported in subsurfaces homeomorphic to the one-holed torus or the four-holed sphere. It turns out that all the relations were discovered by Dehn in 1938.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-01-07T14:49:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mapping class group",
      "presentation",
      "subsurfaces homeomorphic",
      "dehn twists",
      "compact orientable surface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......1025L"
    }
  }
}