Catherine Searle, Wichita State University

Title: Almost non-negatively curved 4-manifolds with torus symmetry

Abstract: We prove that if a closed, smooth, simply-connected
4-manifold with a T^k action admits an almost non-negatively
curved sequence of invariant Riemannian metrics, then k≥2 and the
4-manifold also admits a non-negatively curved Riemannian metric
invariant with respect to the same action. This is joint work with
John Harvey.