{
  "id": "0807.2866",
  "version": "v1",
  "published": "2008-07-17T20:03:13.000Z",
  "updated": "2008-07-17T20:03:13.000Z",
  "title": "Bounding the stable genera of Heegaard splittings from below",
  "authors": [
    "Jesse Johnson"
  ],
  "comment": "24 pages, 3 figures",
  "doi": "10.1112/jtopol/jtq021",
  "categories": [
    "math.GT"
  ],
  "abstract": "We describe for each postive integer $k$ a 3-manifold with Heegaard surfaces of genus $2k$ and $2k-1$ such that any common stabilization of these two surfaces has genus at least $3k-1$. We also show that for every positive $n$, there is a 3-manifold that has $n$ pairwise non-isotopic Heegaard splittings of the same genus all of which are stabilized.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-17T20:03:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10"
    ],
    "keywords": [
      "stable genera",
      "pairwise non-isotopic heegaard splittings",
      "heegaard surfaces",
      "common stabilization",
      "postive integer"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2866J"
    }
  }
}