Link Floer homology and the Thurston norm
Geometric Topology
2007-12-11 v3 Symplectic Geometry
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.
Cite
@article{arxiv.math/0601618,
title = {Link Floer homology and the Thurston norm},
author = {Peter Ozsvath and Zoltan Szabo},
journal= {arXiv preprint arXiv:math/0601618},
year = {2007}
}
Comments
Revised Section 3: improved exposition and corrected statement of Lemma 3.6. Also other minor revisions throughout