{
  "id": "0812.0225",
  "version": "v3",
  "published": "2008-12-01T06:01:53.000Z",
  "updated": "2009-02-05T08:44:11.000Z",
  "title": "Parity condition for irreducibility of Heegaard splittings",
  "authors": [
    "Jung Hoon Lee"
  ],
  "comment": "The paper is totally rewritten. The title has been changed. 9 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Casson and Gordon gave the rectangle condition for strong irreducibility of Heegaard splittings [1]. We give a parity condition for irreducibility of Heegaard splittings of irreducible manifolds. As an application, we give examples of non-stabilized Heegaard splittings by doing a single Dehn twist.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-02-05T08:44:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10"
    ],
    "keywords": [
      "parity condition",
      "single dehn twist",
      "gordon gave",
      "strong irreducibility",
      "non-stabilized heegaard splittings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.0225L"
    }
  }
}