Link Floer homology categorifies the Conway function

Autor:	Benheddi, Mounir, Cimasoni, David
Rok vydání:	2014
Předmět:	Mathematics - Geometric Topology 57M25
Zdroj:	Proc. Edinburgh Math. Soc. 59 (2016), 813-836
Druh dokumentu:	Working Paper
Popis:	Given an oriented link in the 3-sphere, the Euler characteristic of its link Floer homology is known to coincide with its multivariate Alexander polynomial, an invariant only defined up to a sign and powers of the variables. In this paper, we get rid of this ambiguity by proving that this Euler characteristic is equal to the so-called Conway function, the representative of the multivariate Alexander polynomial introduced by Conway in 1970 and explicitly constructed by Hartley in 1983. This is achieved by creating a model of the Conway function adapted to rectangular diagrams, which is then compared to the Euler characteristic of the combinatorial version of link Floer homology. Comment: 20 pages, many figures; final version to appear in Proc. Edinburgh Math. Soc
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1408.3517 Zobrazit plný text záznamu View this record from Arxiv