2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143941We 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.Revised Section 3: improved exposition and corrected statement of Lemma 3.6. Also other minor revisions throughoutGeometric TopologySymplectic Geometry53D; 57Rtext