{
  "id": "math/0611767",
  "version": "v2",
  "published": "2006-11-24T19:43:25.000Z",
  "updated": "2007-04-19T16:48:56.000Z",
  "title": "Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two",
  "authors": [
    "Sangbum Cho"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "Let ${\\mathcal H}$ be the group of isotopy classes of orientation preserving homeomorphisms of $S^3$ that preserve a Heegaard splitting of genus two. In this paper, we use a tree in the barycentric subdivision of the disk complex of a handlebody of the splitting to obtain a finite presentation of ${\\mathcal H}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-04-19T16:48:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M40"
    ],
    "keywords": [
      "heegaard splitting",
      "orientation preserving homeomorphisms",
      "finite presentation",
      "barycentric subdivision",
      "disk complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11767C"
    }
  }
}