50 citations · 225 across the 25 of their papers we have counts for
32 papers
Delocalized eta invariants of the signature operator on G-proper manifolds
Paolo Piazza, Hessel Posthuma, Yanli Song +1
Let be a connected, linear real reductive group and let be a cocompact -proper manifold without boundary. We define delocalized eta invariants associated to a -inve…
Primary and secondary invariants of Dirac operators on -proper manifolds
Paolo Piazza, Xiang Tang
In this article, we survey the recent constructions of cyclic cocycles on the Harish-Chandra Schwartz algebra of a connected real reductive Lie group and their applications to…
Higher orbital integrals, rho numbers and index theory
Paolo Piazza, Hessel Posthuma, Yanli Song +1
Let be a connected, linear real reductive group. We give sufficient conditions ensuring the well-definedness of the delocalized eta invariant associated to a Dirac…
Positive Scalar Curvature on Spin Pseudomanifolds: the Fundamental Group and Secondary Invariants
Boris Botvinnik, Paolo Piazza, Jonathan Rosenberg
In this paper we continue the study of positive scalar curvature (psc) metrics on a depth-1 Thom-Mather stratified space with singular stratum (a closed manifold of posi…
Signatures of Witt spaces with boundary
Paolo Piazza, Boris Vertman
Let M be a compact smoothly stratified pseudomanifold with boundary, satisfying the Witt assumption. In this paper we introduce the de Rham signature and the Hodge signature of M,…
A note on higher Todd genera of complex manifolds
Francesco Bei, Paolo Piazza
Let be a compact complex manifold. In this paper we give a simple proof of the bimeromorphic invariance of the higher Todd genera of , a result first proved implicitly by Br…