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Title:
The augmentation polynomial and topological strings
Speaker:
Abstract:
Recently the augmentation polynomial, a knot invariant derived from knot contact homology, has been connected in surprising ways to other areas of knot theory as well as string theory. I'll survey some of these developments, including: an interpretation as a "stable A-polynomial" derived from representations of the knot group (this is work of Chris Cornwell); a conjectural interpretation as a recurrence relation for colored HOMFLY polynomials; and a relation to mirror symmetry and topological strings. This is mainly joint work with Mina Aganagic, Tobias Ekholm, and Cumrun Vafa.
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