Resumen de Link Floer homology and the Thurston norm

Peter S. Ozsváth, Zoltán Zsabó

• 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.