{
  "id": "1212.6305",
  "version": "v1",
  "published": "2012-12-27T05:29:07.000Z",
  "updated": "2012-12-27T05:29:07.000Z",
  "title": "Left-orderable fundamental group and Dehn surgery on twist knots",
  "authors": [
    "Ryoto Hakamata",
    "Masakazu Teragaito"
  ],
  "comment": "12 pages, 2 figures",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "For any hyperbolic twist knot in the 3-sphere, we show that the resulting manifold by $r$-surgery on the knot has left-orderable fundamental group if the slope $r$ satisfies the inequality $0\\le r \\le 4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-27T05:29:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "06F15"
    ],
    "keywords": [
      "left-orderable fundamental group",
      "dehn surgery",
      "hyperbolic twist knot",
      "inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6305H"
    }
  }
}