{ "id": "0907.2554", "version": "v2", "published": "2009-07-15T19:15:19.000Z", "updated": "2010-01-07T06:08:24.000Z", "title": "A note on lens space surgeries: orders of fundamental groups versus Seifert genera", "authors": [ "Toshio Saito" ], "comment": "7 pages, 4 figures", "categories": [ "math.GT" ], "abstract": "Let K be a non-trivial knot in the 3-sphere with a lens space surgery and L(p,q) a lens space obtained by a Dehn surgery on K. We study a relationship between the order of the fundamental group of L(p,q) and the Seifert genus of K.", "revisions": [ { "version": "v2", "updated": "2010-01-07T06:08:24.000Z" } ], "analyses": { "subjects": [ "57M25" ], "keywords": [ "lens space surgery", "fundamental group", "seifert genera", "dehn surgery", "non-trivial knot" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0907.2554S" } } }