Speaker
Jan Manschot
(University of Dublin)
Description
I will discuss the formulation of 5-dimensional N=1 supersymmetric Yang-Mills theory on X times a circle $S^1$, with X a smooth, compact four-manifold. We include a partial topological twist on X. The 5-dimensional theory can then be reduced to a 4-dimensional Kaluza-Klein theory on X, or to a 1-dimensional theory on $S^1$. For either reduction, we demonstrate that correlation functions evaluate to K-theoretic Donaldson invariants, such as the Dirac index or holomorphic Euler characteristic of moduli spaces of instantons on X. Explicit evaluation demonstrates agreement with results for algebraic surfaces by Gottsche, Kool, Nakajima and Yoshioka. Based on work in progress with H. Kim, G. Moore, R. Tao, X. Zhang.
