P. Piazza

collaborators

3 papers

math.DG2025

Higher Lefschetz formulas on Γ-proper manifolds

Paolo Piazza, Hessel Posthuma, Yanli Song +1

Let $Γ$ be a finitely generated discrete group acting properly and cocompactly on a smooth manifold M. By employing heat-kernel techniques we prove a geometric formula for the pair…

math.DG2025

Classification of spin $^{c}$ manifolds with generalized positive scalar curvature

Boris Botvinnik, Paolo Piazza, Jonathan Rosenberg

Suppose $M$ is a closed $n$ -dimensional spin $^{c}$ manifold with spin $^{c}$ structure $σ$ and associated spin $^{c}$ line bundle $L$ . If one fixes a Riemannian metric $g$ on $M$ and a con…

math.DG2023

Stability of $L^{2} -$ invariants on stratified spaces

Francesco Bei, Paolo Piazza, Boris Vertman

Let $M$ be a compact smoothly stratified pseudo-manifold endowed with a wedge metric $g$ . Let $M_{Γ}$ be a Galois $Γ$ -covering. Under additional assumptions on…

Higher Lefschetz formulas on Γ-proper manifolds

Classification of spinc manifolds with generalized positive scalar curvature

Stability of L2−invariants on stratified spaces

Classification of spin $^{c}$ manifolds with generalized positive scalar curvature

Stability of $L^{2} -$ invariants on stratified spaces