Parametrized Morse Theory and Positive Scalar Curvature

Abstract

We use the cobordism category constructed in arXiv:1703.01047 to the study the homotopy type of the space of positive scalar curvature metrics on a spin manifold of dimension > 4. Our methods give an alternative proof and extension of a recent theorem of Botvinnik, Ebert, and Randal-Williams from arXiv:1411.7408.

51 Pages

Cited by in corpus (1)

• Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities