Link Floer homology and the Thurston norm

• Autores: Peter S. Ozsváth, Zoltán Zsabó
• Localización: Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 21, Nº 3, 2008, págs. 671-710
• Idioma: inglés
• DOI: 10.1090/s0894-0347-08-00586-9
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• Resumen

  • 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.