EVENT DETAILS AND ABSTRACT

Title: Legendrian Knot Categories and BPS spaces
Speaker: Eric Zaslow
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

Given a Legendrian knot in R^3 or R^3/Z we construct a dg category via constructible sheaves and show invariance under Legendrian isotopies. In the case of positive braid closures, the spaces of objects of fixed rank are interesting BPS moduli spaces related to local systems on a Seifert surface. From these spaces one can construct the homological HOMFLY invariant of the knot, as in the work of Webster-Williamson.

This work is joint with Vivek Shende and David Treumann.