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.
No takes yet. Share an insight, caveat, or question.
Ozsváth et al. (2008) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: