Link Floer homology and the Thurston norm

Details Link Floer homology and the Thurston norm Link Floer homology and the Thurston norm

2006-01-25

arxiv.org/abs/math/0601618v3

Mathematics

Geometric Topology

Revised Section 3: improved exposition and corrected statement of Lemma 3.6. Also other minor revisions throughout

Scientific paper

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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