{
  "id": "math/0408198",
  "version": "v5",
  "published": "2004-08-15T00:15:47.000Z",
  "updated": "2007-01-14T22:45:55.000Z",
  "title": "Heegaard surfaces and measured laminations, I: the Waldhausen conjecture",
  "authors": [
    "Tao Li"
  ],
  "journal": "Invent. Math. 167 (2007) no. 1, 135-177",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a proof of the so-called generalized Waldhausen conjecture, which says that an orientable irreducible atoroidal 3-manifold has only finitely many Heegaard splittings in each genus, up to isotopy. Jaco and Rubinstein have announced a proof of this conjecture using different methods.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2007-01-14T22:45:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57N10",
      "57M25"
    ],
    "keywords": [
      "heegaard surfaces",
      "measured laminations",
      "generalized waldhausen conjecture",
      "heegaard splittings",
      "orientable irreducible atoroidal"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8198L"
    }
  }
}