Heegaard-Floer homology of algebraic links

Heegaard-Floer homology of algebraic links

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Eugene Gorsky , Columbia University
Fine Hall 314

The intersection of an algebraic plane curve singularity with a small 3-sphere is an algebraic link. I will explain how to compute the Heegaard-Floer homology of this link in terms of the homologies of certain subvarieties in the space of functions on the plane. The main technical tools are a spectral sequence computing Heegaard-Floer homology of L-space links and Orlik-Solomon theory of hyperplane arrangements. The talk is based on joint works 1301.7636 and 1403.3143 with Andras Nemethi.