8-9 November 2018
University of Fribourg, Switzerland
Europe/Berlin timezone

Spaces of riemannian metrics satisfying surgery stable curvature conditions

8 Nov 2018, 10:40
University of Fribourg, Switzerland

University of Fribourg, Switzerland


Jan-Bernhard Kordaß (Karlsruhe Institute of Technology (KIT))


We will introduce spaces of riemannian metrics on a smooth manifold satisfying a curvature condition given by a subset in the space of algebraic curvature operators. Provided this condition is surgery stable, which is a notion based on the work of S. Hoelzel guaranteeing the condition can be preserved under surgeries of a certain codimension, we can generalize several theorems from positive scalar curvature geometry to this setting. Notably, we will comment on a generalization of a theorem of V. Chernysh on the homotopy type of the space of psc metrics and point to cases where we can distinguish connected components using invariants from spin geometry.

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