{ "id": "1105.3792", "version": "v1", "published": "2011-05-19T05:23:43.000Z", "updated": "2011-05-19T05:23:43.000Z", "title": "Characterization of 3-bridge links with infinitely many 3-bridge spheres", "authors": [ "Yeonhee Jang" ], "comment": "21 pages, 15 figures", "journal": "Topology Appl. 159 (2012), no. 4, 1132-1145", "categories": [ "math.GT" ], "abstract": "The author, in her previous paper, constructed an infinite family of 3-bridge links each of which admits infinitely many 3-bridge spheres up to isotopy. In this paper, we prove that if a prime, unsplittable link $L$ in $S^3$ admits infinitely many 3-bridge spheres up to isotopy then $L$ belongs to the family.", "revisions": [ { "version": "v1", "updated": "2011-05-19T05:23:43.000Z" } ], "analyses": { "keywords": [ "characterization", "unsplittable link" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1105.3792J" } } }