The quantum connection on a monotone symplectic manifold

Abstract: The small quantum connection on a monotone symplectic manifold M is one of the simplest objects in enumerative geometry. Nevertheless, the poles of the connection have a very rich structure. After reviewing this background, I will outline a proof that, under suitable assumptions, the quantum connection of M is of unramified exponential type. This is joint work (partially in progress) with Paul Seidel.