{ "id": "2003.11801", "version": "v1", "published": "2020-03-26T09:03:54.000Z", "updated": "2020-03-26T09:03:54.000Z", "title": "Integral left-orderable surgeries on genus one fibered knots", "authors": [ "Kazuhiro Ichihara", "Yasuharu Nakae" ], "comment": "12 pages, 2 figures", "categories": [ "math.GT" ], "abstract": "Following the classification of genus one fibered knots in lens spaces by Baker, we determine hyperbolic genus one fibered knots in lens spaces on whose all integral Dehn surgeries yield closed 3-manifolds with left-orderable fundamental groups.", "revisions": [ { "version": "v1", "updated": "2020-03-26T09:03:54.000Z" } ], "analyses": { "subjects": [ "57M50", "57R30", "20F60", "06F15" ], "keywords": [ "fibered knots", "integral left-orderable surgeries", "lens spaces", "integral dehn surgeries yield", "determine hyperbolic genus" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }