{
  "id": "0708.3347",
  "version": "v2",
  "published": "2007-08-24T14:40:45.000Z",
  "updated": "2007-08-24T23:13:23.000Z",
  "title": "Lens spaces obtainable by surgery on doubly primitive knots",
  "authors": [
    "Kazuhiro Ichihara",
    "Toshio Saito"
  ],
  "comment": "9 pages, 8 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we consider which lens spaces are obtainable by Dehn surgery described by Berge on doubly primitive knots. It is given an algorithm to decide whether a given lens space is obtainable by such surgery. Also included is a complete characterization of such surgery yielding lens spaces with Klein bottles.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-08-24T23:13:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "doubly primitive knots",
      "lens spaces obtainable",
      "surgery yielding lens spaces",
      "dehn surgery",
      "complete characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.3347I"
    }
  }
}