{
  "id": "1301.2361",
  "version": "v1",
  "published": "2013-01-11T00:02:52.000Z",
  "updated": "2013-01-11T00:02:52.000Z",
  "title": "Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots",
  "authors": [
    "Ryoto Hakamata",
    "Masakazu Teragaito"
  ],
  "comment": "19 pages, 2 figures. arXiv admin note: text overlap with arXiv:1212.6305",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "For any hyperbolic genus one 2-bridge 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 $r$ lies in some range which depends on the knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-11T00:02:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "left-orderable fundamental group",
      "two-bridge knots",
      "dehn surgery",
      "hyperbolic genus",
      "resulting manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.2361H"
    }
  }
}