{
  "id": "1203.6830",
  "version": "v2",
  "published": "2012-03-30T14:33:34.000Z",
  "updated": "2012-06-15T14:46:36.000Z",
  "title": "Homological stability for moduli spaces of high dimensional manifolds",
  "authors": [
    "Soren Galatius",
    "Oscar Randal-Williams"
  ],
  "comment": "17 pages; minor revisions in v2",
  "categories": [
    "math.AT"
  ],
  "abstract": "We prove a homological stability theorem for the moduli spaces of manifolds diffeomorphic to g(S^n x S^n), provided n > 2. This generalises Harer's stability theorem for the homology of mapping class groups. Combined with previous work of the authors, it gives a calculation of the homology of these moduli spaces in a range of degrees.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-15T14:46:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R90",
      "57R15",
      "57R56",
      "55P47"
    ],
    "keywords": [
      "high dimensional manifolds",
      "moduli spaces",
      "generalises harers stability theorem",
      "manifolds diffeomorphic",
      "homological stability theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.6830G"
    }
  }
}