Room P3.10, Mathematics Building

Gonçalo Oliveira, Duke University
$G_2$-instantons on noncompact $G_2$-manifolds

I will report on joint work with Jason Lotay on some existence and nonexistence results for $G_2$-instantons. I shall compare the behavior of $G_2$-instantons for two distinct $G_2$-holonomy metrics on $\mathbb{R}^4\times S^3$.