{
  "id": "1206.6237",
  "version": "v1",
  "published": "2012-06-27T11:54:43.000Z",
  "updated": "2012-06-27T11:54:43.000Z",
  "title": "Genus two Goeritz groups of lens spaces",
  "authors": [
    "Sangbum Cho"
  ],
  "comment": "16 pages, 9 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given a genus-$g$ Heegaard splitting of a 3-manifold, the Goeritz group is defined to be the group of isotopy classes of orientation-preserving homeomorphisms of the manifold that preserve the splitting. In this work, we show that the Goeritz groups of genus-2 Heegaard splittings for lens spaces $L(p, 1)$ are finitely presented, and give explicit presentations of them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-27T11:54:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57M60"
    ],
    "keywords": [
      "goeritz group",
      "lens spaces",
      "explicit presentations",
      "isotopy classes",
      "heegaard splitting"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.6237C"
    }
  }
}