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Link Floer homology and the Thurston norm |
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| Authors: | Peter Ozsvá th Zoltá n Szabó |
| Institution: | Department of Mathematics, Columbia University, New York, New York 10027 ; Department of Mathematics, Princeton University, Princeton, New Jersey 08544 |
| 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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