Closed 3-braids are nearly fibred
Geometric Topology
2009-09-29 v2
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.
Keywords
Cite
@article{arxiv.math/0510243,
title = {Closed 3-braids are nearly fibred},
author = {Yi Ni},
journal= {arXiv preprint arXiv:math/0510243},
year = {2009}
}
Comments
10 pages, 4 figures. Some remarks and references are added