Geometry and Topology Seminar | Dylan Galt | Dimension Reduction and Adiabatic Limits of Generalized ASD Instantons

I will describe ongoing joint work with Langte Ma constructing generalized anti-self-dual (ASD) instantons over product manifolds. In a previous paper, we used an integrability theorem to describe the moduli space of generalized anti-self-dual instantons over product manifolds when the bundle is a pullback, generalizing results of Yuanqi Wang. I will begin by describing this theorem. Then, I will explain ongoing work on an adiabatic limit construction to give examples of generalized ASD instantons over non-pullback bundles. The analysis draws on techniques developed by Dostolgu and Salamon and the results are intended to complement our previous work on dimension reduction. Throughout, I will discuss applications of our work to motivating examples from special holonomy.

MC 5417