{
  "id": "1301.2637",
  "version": "v3",
  "published": "2013-01-12T01:17:55.000Z",
  "updated": "2013-06-16T21:24:29.000Z",
  "title": "On left-orderable fundamental groups and Dehn surgeries on knots",
  "authors": [
    "Anh T. Tran"
  ],
  "comment": "Very minor changes. To appear in the Journal of the Mathematical Society of Japan",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the resulting manifold by $r$-surgery on a large class of two-bridge knots has left-orderable fundamental group if the slope $r$ satisfies certain conditions. This result gives a supporting evidence to a conjecture of Boyer, Gordon and Watson that relates $L$-spaces and the left-orderability of their fundamental groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-06-16T21:24:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "left-orderable fundamental group",
      "dehn surgeries",
      "large class",
      "two-bridge knots",
      "supporting evidence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.2637T"
    }
  }
}