{
  "id": "0710.1262",
  "version": "v2",
  "published": "2007-10-05T16:32:19.000Z",
  "updated": "2012-03-27T22:02:22.000Z",
  "title": "Algorithmically detecting the bridge number of hyperbolic knots",
  "authors": [
    "Alexander Coward"
  ],
  "comment": "42 pages, 23 figures; v2 contains a rewritten introduction and updated references",
  "categories": [
    "math.GT"
  ],
  "abstract": "We exhibit an algorithm to determine the bridge number of a hyperbolic knot in the 3-sphere. The proof uses adaptations of almost normal surface theory for compact surfaces with boundary in ideally triangulated knot exteriors.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-27T22:02:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "bridge number",
      "hyperbolic knot",
      "algorithmically detecting",
      "normal surface theory",
      "ideally triangulated knot exteriors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.1262C"
    }
  }
}