{
  "id": "0903.0454",
  "version": "v1",
  "published": "2009-03-03T07:42:24.000Z",
  "updated": "2009-03-03T07:42:24.000Z",
  "title": "Parity criterion and Dehn twists for unstabilized Heegaard splittings",
  "authors": [
    "Jung Hoon Lee"
  ],
  "comment": "10 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a parity condition of a Heegaard diagram to show that it is unstabilized. This improves the result of [5]. As an application, we construct unstabilized Heegaard splittings by Dehn twists on any given Heegaard splitting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-03T07:42:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "dehn twists",
      "parity criterion",
      "construct unstabilized heegaard splittings",
      "parity condition",
      "heegaard diagram"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1017/S0305004110000095",
      "journal": "Mathematical Proceedings of the Cambridge Philosophical Society",
      "year": 2010,
      "month": "Mar",
      "volume": 149,
      "number": 1,
      "pages": 115
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010MPCPS.149..115L"
    }
  }
}