Mapping analytic surgery to homology, higher rho numbers and metrics of positive scalar curvature

Paolo Piazza, Thomas Schick, Vito Felice Zenobi

Let $\Gamma$ be a f.g. discrete group and let $\tilde{M}$ be a Galois $\Gamma$-covering of a smooth closed manifold $M$. Let $S_{\ast }^{\Gamma }(\tilde{M})$ be the analytic structure group, appearing in t…