{
  "id": "0802.2145",
  "version": "v2",
  "published": "2008-02-15T07:20:06.000Z",
  "updated": "2008-03-06T23:59:00.000Z",
  "title": "Stabilization of Heegaard splittings",
  "authors": [
    "Joel Hass",
    "Abigail Thompson",
    "William Thurston"
  ],
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "For each g greater than one there is a 3-manifold with two genus g Heegaard splittings that require g stabilizations to become equivalent. Previously known examples required at most one stabilization. Control of families of Heegaard surfaces is obtained through a deformation to harmonic maps.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-06T23:59:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "53C43",
      "58E20"
    ],
    "keywords": [
      "heegaard splittings",
      "stabilization",
      "heegaard surfaces",
      "harmonic maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.2145H"
    }
  }
}