{ "id": "math/0510243", "version": "v2", "published": "2005-10-12T05:24:46.000Z", "updated": "2005-10-28T03:35:57.000Z", "title": "Closed 3-braids are nearly fibred", "authors": [ "Yi Ni" ], "comment": "10 pages, 4 figures. Some remarks and references are added", "categories": [ "math.GT" ], "abstract": "Ozsv\\'ath and Szab\\'o conjectured that knot Floer homology detects fibred links. We will verify this conjecture for closed 3-braids, by classifying fibred closed 3-braids. In particular, given a nontrivial closed 3-braid, either it is fibred, or it differs from a fibred link by a half twist. The proof uses Gabai's method of disk decomposition.", "revisions": [ { "version": "v2", "updated": "2005-10-28T03:35:57.000Z" } ], "analyses": { "subjects": [ "57M27", "57R58" ], "keywords": [ "floer homology detects fibred links", "knot floer homology detects", "disk decomposition", "half twist", "gabais method" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....10243N" } } }