{
  "id": "math/0412307",
  "version": "v3",
  "published": "2004-12-15T20:01:13.000Z",
  "updated": "2005-06-15T03:50:48.000Z",
  "title": "Links with no exceptional surgeries",
  "authors": [
    "David Futer",
    "Jessica S. Purcell"
  ],
  "comment": "28 pages, 15 figures. Minor rewording and organizational changes; also added theorem giving a lower bound on the genus of these links",
  "journal": "Commentarii Mathematici Helvetici 82 (2007), No. 3, 629-664",
  "doi": "10.4171/CMH/105",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that if a knot admits a prime, twist-reduced diagram with at least 4 twist regions and at least 6 crossings per twist region, then every non-trivial Dehn filling of that knot is hyperbolike. A similar statement holds for links. We prove this using two arguments, one geometric and one combinatorial. The combinatorial argument further implies that every link with at least 2 twist regions and at least 6 crossings per twist region is hyperbolic and gives a lower bound for the genus of a link.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-06-15T03:50:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M50"
    ],
    "keywords": [
      "exceptional surgeries",
      "twist region",
      "similar statement holds",
      "knot admits",
      "non-trivial dehn"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12307F"
    }
  }
}