{
  "id": "1005.1467",
  "version": "v2",
  "published": "2010-05-10T08:09:19.000Z",
  "updated": "2011-12-26T11:40:15.000Z",
  "title": "A refinement of Johnson's bounding for the stable genera of Heegaard splittings",
  "authors": [
    "Kazuto Takao"
  ],
  "comment": "16 pages, 17 figures",
  "journal": "Osaka J. Math. 48 (2011), no. 1, 251-268",
  "categories": [
    "math.GT"
  ],
  "abstract": "For each integer k > 1, Johnson gave a 3-manifold with Heegaard splittings of genera 2k and 2k-1 such that any common stabilization of these two surfaces has genus at least 3k-1. We modify his argument to produce a 3-manifold with two Heegaard splitings of genus 2k such that any common stabilization of them has genus at least 3k.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-26T11:40:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57M50"
    ],
    "keywords": [
      "heegaard splittings",
      "stable genera",
      "johnsons bounding",
      "refinement",
      "common stabilization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.1467T"
    }
  }
}