{
  "id": "0805.4422",
  "version": "v1",
  "published": "2008-05-28T20:10:29.000Z",
  "updated": "2008-05-28T20:10:29.000Z",
  "title": "Flipping and stabilizing Heegaard splittings",
  "authors": [
    "Jesse Johnson"
  ],
  "comment": "22 pages, 7 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the number of stabilizations needed to interchange the handlebodies of a Heegaard splitting of a closed 3-manifold by an isotopy is bounded below by the smaller of twice its genus or half its Hempel distance. This is a combinatorial version of a proof by Hass, Thompson and Thurston of a similar theorem, but with an explicit bound in terms of distance. We also show that in a 3-manifold with boundary, the stable genus of a Heegaard splitting and a boundary stabilization of itself is bounded below by the same value.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-28T20:10:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10"
    ],
    "keywords": [
      "stabilizing heegaard splittings",
      "hempel distance",
      "combinatorial version",
      "similar theorem",
      "explicit bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.4422J"
    }
  }
}