{
  "id": "1006.4476",
  "version": "v2",
  "published": "2010-06-23T11:30:58.000Z",
  "updated": "2011-04-28T19:37:52.000Z",
  "title": "Homological stability for mapping class groups of surfaces",
  "authors": [
    "Nathalie Wahl"
  ],
  "comment": "Proof of claim 3 in the spectral sequence argument corrected (see new lemma 2.5, corollaries 2.6 and 2.7). To appear in the Handbook of Moduli",
  "journal": "in: Handbook of Moduli, Vol. III, 547-583. Advanced Lectures in Mathematics 26 (2012)",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "We give a complete and detailed proof of Harer's stability theorem for the homology of mapping class groups of surfaces, with the best stability range presently known. This theorem and its proof have seen several improvements since Harer's original proof in the mid-80's, and our purpose here is to assemble these many additions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-28T19:37:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mapping class groups",
      "homological stability",
      "harers original proof",
      "harers stability theorem",
      "best stability range"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.4476W"
    }
  }
}