Journal of the American Mathematical Society

Author(s): Peter Ozsváth; Zoltán Szabó
Journal: J. Amer. Math. Soc. 21 (2008), 671-709.
MSC (2000): Primary 53Dxx, 57Rxx, 57Mxx
Posted: January 22, 2008
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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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Retrieve articles in Journal of the American Mathematical Society with MSC (2000): 53Dxx, 57Rxx, 57Mxx

Peter Ozsváth
Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
Email: petero@math.columbia.edu

Zoltán Szabó
Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Email: szabo@math.princeton.edu

DOI: 10.1090/S0894-0347-08-00586-9
PII: S 0894-0347(08)00586-9
Received by editor(s): February 6, 2006
Posted: January 22, 2008
Additional Notes: The first author was supported by NSF grant number DMS-050581
The second author was supported by NSF grant number DMS-0406155
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN: 1088-6834(e) ISSN: 0894-0347(p)

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