Link Floer homology and the Thurston norm
classification
🧮 math.GT
math.SG
keywords
linkthurstonfloerhomologynormpolytopealexanderalternating
read the original 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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