H-space structures on spaces of metrics of positive scalar curvature

Abstract: We construct and study an $H$-space multiplication on $\mathcal{R}^+(M)$ for simply connected Spin-manifolds $M$ which are Spin-nullcobordant. This will lead to a form of computation called "graphical calculus" which is the used to derive a rigidity criterion for the action of the diffeomorphism group on $\mathcal{R}^+(M)$ via pullback. We will also indicate, how to get rid of the assumption of being simply connected and Spin.

algebraic topologydifferential geometrygeometric topologyK-theory and homology

Audience: researchers in the topic

( paper )

Göttingen topology and geometry seminar

Series comments: Our seminar takes place via zoom every Tuesday afternoon (Central European Summer Time; the precise time slot varies—please always refer to the listing).