Closed 3-braids are nearly fibred

Details Closed 3-braids are nearly fibred Closed 3-braids are nearly fibred

2005-10-12

arxiv.org/abs/math/0510243v2

Mathematics

Geometric Topology

10 pages, 4 figures. Some remarks and references are added

Scientific paper

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.

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