{
  "id": "0802.3372",
  "version": "v2",
  "published": "2008-02-22T19:33:26.000Z",
  "updated": "2008-07-25T03:58:52.000Z",
  "title": "Elliptic surfaces without 1-handles",
  "authors": [
    "Kouichi Yasui"
  ],
  "comment": "23 pages, 56 figures, slightly extended, accepted for publication in J. Topol",
  "categories": [
    "math.GT"
  ],
  "abstract": "Harer-Kas-Kirby conjectured that every handle decomposition of the elliptic surface E(1)_{2,3} requires both 1- and 3-handles. We prove that the elliptic surface E(n)_{p,q} has a handle decomposition without 1-handles for $n\\geq 1$ and (p,q)=(2,3),(2,5),(3,4),(4,5).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-25T03:58:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R55",
      "57R65",
      "57N13"
    ],
    "keywords": [
      "elliptic surface",
      "handle decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.3372Y"
    }
  }
}