{ "id": "1208.2087", "version": "v1", "published": "2012-08-10T05:12:24.000Z", "updated": "2012-08-10T05:12:24.000Z", "title": "Left-orderable fundamental group and Dehn surgery on the knot $5_2$", "authors": [ "Ryoto Hakamata", "Masakazu Teragaito" ], "comment": "8 pages, 1 figure", "categories": [ "math.GT", "math.GR" ], "abstract": "We show that the resulting manifold by $r$-surgery on the knot $5_2$, which is the two-bridge knot corresponding to the rational number 3/7, has left-orderable fundamental group if the slope $r$ satisfies $0\\le r\\le 4$.", "revisions": [ { "version": "v1", "updated": "2012-08-10T05:12:24.000Z" } ], "analyses": { "subjects": [ "57M25", "06F15" ], "keywords": [ "left-orderable fundamental group", "dehn surgery", "rational number", "two-bridge knot corresponding" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.2087H" } } }