Alex Oblomkov : HOMFLY invariants of algebraic links

Posted by , part of the Algebraic Geometry Seminar.

At

March 11, 2010, 4 p.m.

In

SEO 636

Abstract

By intersecting a small three-dimensional sphere which surrounds a singular point of a planar curve, with the curve, one obtains a link in three-dimensional space. In my talk I explain a conjectural formula for the HOMFLY polynomial of the link which interprets the polynomial in terms of topology of some natural stratification on the moduli space of torsion free sheaves on the curve. The talk presents joint work with Vivek Shende.