{
  "id": "1107.2127",
  "version": "v1",
  "published": "2011-07-11T20:04:49.000Z",
  "updated": "2011-07-11T20:04:49.000Z",
  "title": "An upper bound on common stabilizations of Heegaard splittings",
  "authors": [
    "Jesse Johnson"
  ],
  "comment": "34 pages, 8 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that for any two Heegaard splittings of genus $p$ and $q$ for the same closed 3-manifold, there is a common stabilization of genus at most 3/2 p + 2q - 1. One may compare this to recent examples of Heegaard splittings whose smallest common stabilizations have genus at least $p+q$ or $p + 1/2 q$ depending on the notion of equivalence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-11T20:04:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10"
    ],
    "keywords": [
      "heegaard splittings",
      "upper bound",
      "smallest common stabilizations",
      "equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2127J"
    }
  }
}