{
  "id": "math/0103217",
  "version": "v2",
  "published": "2001-03-30T08:17:20.000Z",
  "updated": "2002-08-05T13:23:37.000Z",
  "title": "Classification of alternating knots with tunnel number one",
  "authors": [
    "Marc Lackenby"
  ],
  "comment": "38 pages, 26 figures; to appear in Communications in Analysis and Geometry",
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper gives a complete classification of all alternating knots with tunnel number one, and all their unknotting tunnels. We prove that the only such knots are two-bridge knots and certain Montesinos knots.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-08-05T13:23:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "tunnel number",
      "alternating knots",
      "montesinos knots"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......3217L"
    }
  }
}