Volume 13, issue 5 (2009)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19, 1 issue

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Link Floer homology detects the Thurston norm

Yi Ni

Geometry & Topology 13 (2009) 2991–3019
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 S3. 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.

Keywords
link Floer homology, link, rational homology 3-sphere, Thurston norm, taut foliation
Mathematical Subject Classification 2000
Primary: 57R58, 57M27
Secondary: 57R30
References
Publication
Received: 8 May 2006
Revised: 2 July 2009
Accepted: 1 August 2009
Published: 18 September 2009
Proposed: Peter Ozsváth
Seconded: Ron Fintushel, Walter Neumann
Authors
Yi Ni
Department of Mathematics
Columbia University
MC 4406
2990 Broadway
New York, NY 10027