{
  "id": "1110.0876",
  "version": "v2",
  "published": "2011-10-05T00:39:36.000Z",
  "updated": "2012-02-27T21:26:21.000Z",
  "title": "Generating the Torelli group",
  "authors": [
    "Allen Hatcher",
    "Dan Margalit"
  ],
  "comment": "23 pages, 10 figures, improvements to the exposition, to appear in L'Enseignement Mathematique",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We give a new proof of the theorem of Birman-Powell that the Torelli subgroup of the mapping class group of a closed orientable surface of genus at least 3 is generated by simple homeomorphisms known as bounding pair maps. The key ingredient is a proof that the subcomplex of the curve complex of the surface spanned by curves within a fixed homology class is connected.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-27T21:26:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36"
    ],
    "keywords": [
      "torelli group",
      "generating",
      "fixed homology class",
      "curve complex",
      "torelli subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.0876H"
    }
  }
}