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Link Floer homology and the Thurston norm
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
MathSciNet review:
2393424
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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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Additional Information:
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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