Published December 2009
| Submitted
Journal Article
Open
Closed 3-braids are nearly fibred
- Creators
- Ni, Yi
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.
Additional Information
© 2009 World Scientific Publishing Co. Accepted 8 October 2009. We wish to thank David Gabai and Zoltán Szabó for some helpful conversations. We are especially grateful to Jacob Rasmussen, who pointed out a crucial mistake in an earlier version of this paper, and to Xingru Zhang, from whose lecture the author learned Xu's work on 3-braids. This paper was written in 2005 when the author was a graduate student at Princeton University. The author was partially supported by a Graduate School Centennial fellowship at Princeton University.Attached Files
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Additional details
- Eprint ID
- 17330
- DOI
- 10.1142/S0218216509007701
- Resolver ID
- CaltechAUTHORS:20100128-082614040
- Princeton University
- Created
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2010-01-29Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field