Title:
Spaces of positive scalar curvature metrics on totally nonspin manifolds
Abstract: In recent years, it has been shown that the space of
psc-metrics on a closed spin manifold is topologically highly
nontrivial, meaning that it is often disconnected and has infinitely
many nontrivial homotopy groups. On the other hand, rather little is
known in the totally nonspin case, i.e. if the universal cover of the
underlying manifold is nonspin. In this talk I will explain an
approach to this case and I will show that the space of psc-metrics
behaves quite differently, compared to the spin case.