Gap Theorem Results in Yang--Mills Theory

Abstract: We discuss results concerning the space of Yang--Mills connections on vector bundles over compact 4-dimensional Riemannian manifolds. In particular, we discuss a conformally invariant gap theorem for Yang-Mills connections obtained by exploiting an associated Yamabe-type problem. We also discuss a bound for the index in terms of its energy which is conformally invariant, which captures the sharp growth rate. This is joint work with M. Gursky and J. Streets.

differential geometry

Audience: researchers in the topic

B.O.W.L Geometry Seminar