Link Floer homology and the Thurston norm

By Peter S. Ozsv'ath, Zolt'an Szab'o. 2006

81 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0e50ada6c12fcabf631d772c7a1573031bd71647

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Andr'as Juh'asz
2. Jacob Rasmussen
3. Stefan Friedl
4. Yi Ni
5. M. Hedden
6. P. Kronheimer
7. T. Mrowka
8. Ian Zemke

In Discrete Mathematics and Combinatorics

1. Yi Ni
2. Andr'as Juh'asz
3. Jacob Rasmussen
4. Stefan Friedl
5. P. Kronheimer
6. T. Mrowka
7. Peter S. Ozsv'ath
8. Zolt'an Szab'o

In Geometry and Topology

1. Yi Ni
2. Andr'as Juh'asz
3. Ian Zemke
4. Stefan Friedl
5. Jacob Rasmussen
6. M. Hedden
7. Peter S. Ozsv'ath
8. T. Mrowka

Citations in the corpus

• On the Khovanov and knot Floer homologies of quasi-alternating links (2007, unknown): “G T ] 2 6 M ar 2 00”
• Link Floer homology detects the Thurston norm (2006, methodology): “In order to reduce the general case to the case of h D ŒF , we are going to use the “cabling trick” introduced in [14].”
• The decategorification of sutured Floer homology (2009, background): “In [31], it is shown that if L has no trivial components, then the link Floer homology of L determines the Thurston norm of the link complement.”