{
  "id": "0712.4387",
  "version": "v1",
  "published": "2007-12-28T18:27:24.000Z",
  "updated": "2007-12-28T18:27:24.000Z",
  "title": "Dehn surgeries that yield fibred $3$--manifolds",
  "authors": [
    "Yi Ni"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study Dehn surgeries on null-homotopic knots that yield fibred $3$--manifolds when an additional (but natural) homological restriction is imposed. The major tool used is Gabai's theory of sutured manifold decomposition. Such surgeries are negative examples to a question of Michel Boileau. Another result we will prove is about surgeries which reduce the Thurston norm of a fibred manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-28T18:27:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99",
      "57R30"
    ],
    "keywords": [
      "study dehn surgeries",
      "thurston norm",
      "gabais theory",
      "sutured manifold decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.4387N"
    }
  }
}