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Singular link Floer Homology
by
Benjamin Audoux
Unige (University of Geneva)
There are different ways to study the Alexander polynomial Δ. It can be done using Vassiliev theory, i.e. the generalization of Δ to singular links, but also using its categorification, i.e. Heegaard-Floer homology which is a sequence of homology groups with Δ as graded Euler caracteristic. The question of a possible relation between these two constructions is then naturally raised. In my talk, I will give a generalization of Heegaard-Floer homology to singular links which categorifies the Vasiliev iterative formula and which satisfies some "good" acyclicity conditions.
Date received: November 19, 2008
Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caxq-26.