Closed 3-braids are nearly fibred

Yi Ni

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Closed 3-braids are nearly fibred

Yi Ni

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Abstract

Ozsváth and Szabó 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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Yi Ni. 2005-10-28. Closed 3-braids are nearly fibred. https://arxiv.org/abs/math/0510243

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