Peter Ozsvath, Zoltan Szabo
Published 2006-01-25, updated 2007-12-11Version 3
We show that link Floer homology detects the Thurston norm of a link complement. As an application, we show that the Thurston polytope of an alternating link is dual to the Newton polytope of its multi-variable Alexander polynomial. To illustrate these techniques, we also compute the Thurston polytopes of several specific link complements.
Comments: Revised Section 3: improved exposition and corrected statement of Lemma 3.6. Also other minor revisions throughout
Link Floer homology detects the Thurston norm
Correction terms, $\mathbb Z_2$--Thurston norm, and triangulations
Knot Floer homology, link Floer homology and link detection
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