{ "id": "math/0606379", "version": "v2", "published": "2006-06-15T20:49:45.000Z", "updated": "2007-02-02T19:32:50.000Z", "title": "Tunnel number one, genus one fibered knots", "authors": [ "Kenneth L. Baker", "Jesse E. Johnson", "Elizabeth A. Klodginski" ], "comment": "12 pages, 4 figures; incorporated referee comments; accepted by CAG", "categories": [ "math.GT" ], "abstract": "We determine the genus one fibered knots in lens spaces that have tunnel number one. We also show that every tunnel number one, once-punctured torus bundle is the result of Dehn filling a component of the Whitehead link in the 3-sphere.", "revisions": [ { "version": "v2", "updated": "2007-02-02T19:32:50.000Z" } ], "analyses": { "subjects": [ "57M50", "57M12", "57M25" ], "keywords": [ "tunnel number", "fibered knots", "lens spaces", "once-punctured torus bundle", "whitehead link" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......6379B" } } }