Link Floer homology and the Thurston norm

Ozsváth, Peter¹ ; Szabó, Zoltán²

¹ Department of Mathematics, Columbia University, New York, New York 10027
² Department of Mathematics, Princeton University, Princeton, New Jersey 08544

Journal of the American Mathematical Society, Tome 21 (2008) no. 3, pp. 671-709

Résumé

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.

Détail

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

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