P. Piazza

collaborators

2 papers

math.DG2025

Delocalized eta invariants of the signature operator on G-proper manifolds

Paolo Piazza, Hessel Posthuma, Yanli Song +1

Let $G$ be a connected, linear real reductive group and let $X$ be a cocompact $G$ -proper manifold without boundary. We define delocalized eta invariants associated to a $L^{2}$ -inve…

math.KT2025

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

Paolo Piazza, Thomas Schick, Vito Felice Zenobi

Let $I^$ be a f.g. discrete group and let $M ~$ be a Galois $I^$ -covering of a smooth closed manifold $M$ . Let $S_{*}^{I^} (M ~)$ be the analytic structure group, appearing i…