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CLOSED 3-BRAIDS ARE NEARLY FIBRED

YI NI

Department of Mathematics, Princeton University, Princeton, New Jersey 08544, USA

Current Address: Department of Mathematics, Caltech, MC 253-37, 1200 E California Blvd, Pasadena, CA 91125, USA.

https://doi.org/10.1142/S0218216509007701Cited by:5 (Source: Crossref)

Abstract

We classify fibred closed 3-braids. In particular, given a nontrivial closed 3-braid, either it is fibred, or it differs from a fibred link by adding a crossing. The proof uses Gabai's method of disk decomposition. The topmost term in the knot Floer homology of closed 3-braids is also computed.

Keywords:

AMSC: 57M25, 57M27

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