Link Floer homology and the Thurston norm

Ozsváth, Peter; Szabó, Zoltán

doi:10.1090/S0894-0347-08-00586-9

Link Floer homology and the Thurston norm
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by Peter Ozsváth and Zoltán Szabó;

J. Amer. Math. Soc. 21 (2008), 671-709

DOI: https://doi.org/10.1090/S0894-0347-08-00586-9

Published electronically: January 22, 2008

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Abstract:

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.

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