Published September 18, 2009
| Published
Journal Article
Open
Link Floer homology detects the Thurston norm
- Creators
- Ni, Yi
Abstract
We prove that, for a link L in a rational homology 3–sphere, the link Floer homology detects the Thurston norm of its complement. This result has been proved by Ozsváth and Szabó for links in S^3. As an ingredient of the proof, we show that knot Floer homology detects the genus of null-homologous links in rational homology spheres, which is a generalization of an earlier result of the author. Our argument uses the techniques due to Ozsváth and Szabó, Hedden and the author.
Additional Information
© 2009 Mathematical Sciences Publishers. Received: 8 May 2006. Revised: 2 July 2009. Accepted: 1 August 2009. Published: 18 September 2009. Proposed: Peter Ozsváth. Seconded: Ron Fintushel, Walter Neumann. We are grateful to David Gabai and Zoltán Szabó for some helpful conversations. We wish to thank Efstratia Kalfagianni for informing us Kaiser's work [5]. We particularly thank the referee for a thorough reading of an earlier version of this paper, for many constructive suggestions and for pointing out a serious mistake. The first version of this paper was carried out when the author was a graduate student at Princeton University. The author was partially supported by a Graduate School Centennial fellowship at Princeton University during the course of this work.Attached Files
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Additional details
- Eprint ID
- 56828
- Resolver ID
- CaltechAUTHORS:20150421-115909626
- Princeton University
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2015-04-21Created from EPrint's datestamp field
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2021-11-10Created from EPrint's last_modified field