Mark Walsh, National University of Ireland

Title: Homotopy Invariance of the Space of PSC-metrics on Manifolds with Singularities

Abstract: We consider the space of metrics of positive scalar curvature (PSC-metrics) on certain manifolds with singularities. The main result we will discuss shows that the homotopy type of this space is an invariant of particular surgeries on both the non-singular and singular parts of the manifold.

This is joint work with Boris Botvinnik.