{
  "id": "0707.4322",
  "version": "v1",
  "published": "2007-07-29T23:56:14.000Z",
  "updated": "2007-07-29T23:56:14.000Z",
  "title": "Infinite topology of curve complexes and non-Poincare duality of Teichmueller modular groups",
  "authors": [
    "Nikolai V. Ivanov",
    "Lizhen Ji"
  ],
  "comment": "11 pages, no figures",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "In this note, we fill in a gap in the literature by proving that the Teichmueller modular groups (mapping class groups) are not Poincare duality groups and the complexes of curves of surfaces have infinite homotopy type (i.e. are not homotopy equivalent to a finite CW-complex).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-29T23:56:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G15",
      "20F38",
      "20J06",
      "30F60",
      "57M07",
      "57M99"
    ],
    "keywords": [
      "teichmueller modular groups",
      "curve complexes",
      "infinite topology",
      "non-poincare duality",
      "poincare duality groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.4322I"
    }
  }
}