{
  "id": "1310.3472",
  "version": "v3",
  "published": "2013-10-13T12:25:46.000Z",
  "updated": "2015-03-17T01:23:42.000Z",
  "title": "Exceptional surgeries on alternating knots",
  "authors": [
    "Kazuhiro Ichihara",
    "Hidetoshi Masai"
  ],
  "comment": "30 pages, 19 figures. v2: recomputation performed via the newest version of hikmot, v3: revised according to referees' comments, to appear in Comm. Anal. Geom",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a complete classification of exceptional surgeries on hyperbolic alternating knots in the 3-sphere. As an appendix, we also show that the Montesinos knots M (-1/2, 2/5, 1/(2q + 1)) with q at least 5 have no non-trivial exceptional surgeries. This gives the final step in a complete classification of exceptional surgery on arborescent knots.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-10T14:52:26.000Z",
      "comment": "29 pages, 19 figures. v2: recomputation performed via the newest version of hikmot",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-03-17T01:23:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57M25"
    ],
    "keywords": [
      "exceptional surgery",
      "complete classification",
      "non-trivial exceptional surgeries",
      "hyperbolic alternating knots",
      "arborescent knots"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.3472I"
    }
  }
}