{
  "id": "1701.01421",
  "version": "v1",
  "published": "2017-01-05T18:55:03.000Z",
  "updated": "2017-01-05T18:55:03.000Z",
  "title": "The Berge Conjecture for tunnel number one knots",
  "authors": [
    "Yoav Moriah",
    "Tali Pinsky"
  ],
  "comment": "114 pages, 73 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we prove that if $K\\subset S^3$ is a tunnel number one knot which admits a Dehn filling resulting in a lens space then $K$ is in the Berge list.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-05T18:55:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tunnel number",
      "berge conjecture",
      "lens space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 114,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}