Title: GW/DT correspondence for local gerby curves of transversal A_n singularity, II

Abstract: In this I will explain the TQFT formalism to reduce relative GW/DT invariants of local (gerby) curves to the basic cases. In the basic cases, those invariants are related to each other via the quantum cohomology of Hilbert scheme of points. I will talk about the idea of the proofs.