{
  "id": "math/9911254",
  "version": "v1",
  "published": "1999-11-20T00:00:00.000Z",
  "updated": "1999-11-20T00:00:00.000Z",
  "title": "Classification of unknotting tunnels for two bridge knots",
  "authors": [
    "Tsuyoshi Kobayashi"
  ],
  "comment": "32 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper14.abs.html",
  "journal": "Geom. Topol. Monogr. 2 (1999), 259-290",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we show that any unknotting tunnel for a two bridge knot is isotopic to either one of known ones. This together with Morimoto-Sakuma's result gives the complete classification of unknotting tunnels for two bridge knots up to isotopies and homeomorphisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-11-20T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M05"
    ],
    "keywords": [
      "bridge knot",
      "unknotting tunnel",
      "morimoto-sakumas result",
      "complete classification"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}