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arXiv:math/0510243 [math.GT]AbstractReferencesReviewsResources

Closed 3-braids are nearly fibred

Yi Ni

Published 2005-10-12, updated 2005-10-28Version 2

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.

Comments: 10 pages, 4 figures. Some remarks and references are added
Categories: math.GT
Subjects: 57M27, 57R58
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