{
  "id": "1504.06682",
  "version": "v1",
  "published": "2015-04-25T04:43:33.000Z",
  "updated": "2015-04-25T04:43:33.000Z",
  "title": "The Poincare homology sphere, lens space surgeries, and some knots with tunnel number two",
  "authors": [
    "Kenneth L. Baker"
  ],
  "comment": "11 pages, 6 figures. Comments welcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "We exhibit an infinite family of knots in the Poincare homology sphere with tunnel number 2 that have a lens space surgery. Notably, these knots are not doubly primitive and provide counterexamples to a few conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-25T04:43:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "poincare homology sphere",
      "lens space surgery",
      "tunnel number",
      "counterexamples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150406682B"
    }
  }
}