Speaker
Jan Manschot
Abstract
I will discuss the evaluation of correlation functions for topologically twisted gauge theory, specifically 1) the mass deformation of the 4d N=4 supersymmetric theory, and 2) the 5d N=1 supersymmetric theory compactified on a four-manifold times S^1. For gauge group SU(2), the correlation functions reduce in the low energy effective field theory to an integral over a fundamental domain in the upper-half plane. Correlation functions of the two theories give rise to topological invariants of the four-manifold, including Donaldson invariants and (holomorphic) Euler characteristics.