{
  "id": "1211.3066",
  "version": "v2",
  "published": "2012-11-13T18:25:54.000Z",
  "updated": "2013-01-23T20:57:02.000Z",
  "title": "Taut foliations in knot complements",
  "authors": [
    "Tao Li",
    "Rachel Roberts"
  ],
  "comment": "19 pages, 6 figures. Minor changes; applications were added in the introduction section",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that for any nontrivial knot in $S^3$, there is an open interval containing zero such that a Dehn surgery on any slope in this interval yields a 3-manifold with taut foliations. This generalizes a theorem of Gabai on zero frame surgery.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-23T20:57:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57M25",
      "57N10",
      "57R30"
    ],
    "keywords": [
      "taut foliations",
      "knot complements",
      "zero frame surgery",
      "open interval containing zero",
      "interval yields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.3066L"
    }
  }
}