Twisted K-theory and obstructions against positive scalar curvature metrics

Pennig, Ulrich

Zusammenfassung

We decompose the twisted index obstruction θ(M) against positive scalar curvature metrics for oriented manifolds with spin universal cover into a pairing of a twisted K-homology with a twisted K-theory class and prove that θ(M) does not vanish if M is an orientable enlargeable manifold with spin universal cover.