50 citations · 225 across the 25 of their papers we have counts for
8 papers · 1 filter
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…
Mapping analytic surgery to homology, higher rho numbers and metrics of positive scalar curvature
Paolo Piazza, Thomas Schick, Vito Felice Zenobi
Let be a f.g. discrete group and let be a Galois -covering of a smooth closed manifold . Let be the analytic structure group, appearing in t…
Singular spaces, groupoids and metrics of positive scalar curvature
Paolo Piazza, Vito Felice Zenobi
We define and study, under suitable assumptions, the fundamental class, the index class and the rho class of a spin Dirac operator on the regular part of a spin stratified pseudoma…
Stratified surgery and K-theory invariants of the signature operator
Pierre Albin, Paolo Piazza
In work of Higson-Roe the fundamental role of the signature as a homotopy and bordism invariant for oriented manifolds is made manifest in how it and related secondary invariants d…
Additivity of the rho map on the topological structure group
Paolo Piazza, Vito Felice Zenobi
Let M be an orientable topological manifold of dimension m, m greater or equal to 5, with fundamental group . Let S(M) be the topological structure set, endowed with the group s…
The surgery exact sequence, K-theory and the signature operator
Paolo Piazza, Thomas Schick
The main result of this paper is a new and direct proof of the natural transformation from the surgery exact sequence in topology to the analytic K-theory sequence of Higson and Ro…