{
  "id": "0712.1797",
  "version": "v1",
  "published": "2007-12-11T19:43:33.000Z",
  "updated": "2007-12-11T19:43:33.000Z",
  "title": "Lens space surgeries & primitive/Seifert type constructions",
  "authors": [
    "Michael J. Williams"
  ],
  "comment": "18 pages, 8 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that lens space surgeries on knots in $S^3$ which arise from the primitive/Seifert type construction also arise from the primitive/primitive construction. This is the first step of a three step program to prove the Berge conjecture for tunnel number one knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-11T19:43:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "lens space surgeries",
      "primitive/seifert type construction",
      "first step",
      "step program",
      "berge conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.1797W"
    }
  }
}