Diffeomorphisms and positive curvature

Abstract

We prove the existence of elements of infinite order in the homotopy groups of the spaces ${\mathcal{R}}_{Ric>0}(M)$ and ${\mathcal{R}}_{sec>0}(M)$ of positive Ricci and positive sectional curvature, provided that $M$ is high-dimensional and Spin, admits such a metric and has a non-vanishing rational Pontryagin class.

11 pages. Video abstract available here: https://www.youtube.com/watch?v=wuaBwTMsqsc

References in corpus (1)

• The action of the mapping class group on metrics of positive scalar curvature