{
  "id": "math/0612525",
  "version": "v2",
  "published": "2006-12-18T16:21:41.000Z",
  "updated": "2007-05-07T17:21:50.000Z",
  "title": "Once-punctured tori and knots in lens spaces",
  "authors": [
    "Kenneth L. Baker"
  ],
  "comment": "37 pages, 29 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We determine the non-null homologous knots in lens spaces whose exteriors contain properly embedded once-punctured tori. All such knots arise as surgeries on the Whitehead link and are grid number 1 in their lens spaces. As a corollary, we classify once-punctured torus bundles that admit a lens space filling.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-07T17:21:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "lens space",
      "contain properly embedded once-punctured tori",
      "knots arise",
      "whitehead link",
      "grid number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12525B"
    }
  }
}