EVENT DETAILS AND ABSTRACT

Title: Holomorphic fusion rules in Chern-Simons theory
Speaker: Professor Sergiy Koshkin
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

I will describe a class of complex threefold singularities that produce large N dual pairs. Each pair consists of a 3-manifold and a Calabi-Yau threefold with conjecturally related Chern-Simons and Gromov-Witten invariants respectively. The 3-manifolds that occur are of a special kind (graph manifolds), and their Chern-Simons invariants can be computed using only fusion rules, a part of the theory that does not involve Drinfeld's R-matrix. This is fortuitous because as I will explain, the fusion rules can be modified to produce holomorphic functions that reduce to the conventional invariants under a specialization of variables. These functions are expected to generate the Gromov-Witten invariants of the dual Calabi-Yau threefolds.