Stable pairs and the HOMFLY polynomial

Stable pairs and the HOMFLY polynomial

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Davesh Maulik , Columbia University
Fine Hall 314

Given a planar curve singularity, Oblomkov and Shende conjectured a precise relationship between the geometry of its Hilbert scheme of points and the HOMFLY polynomial of the associated link. I will explain a proof of this conjecture, as well as a generalization to colored invariants proposed by Diaconescu, Hua, and Soibelman.