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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 $I ¨ $ and associated spin $^{c}$ line bundle $L$ . If one fixes a Riemannian metric $g$ on $M$ and a co…

Higher Lefschetz formulas on Γ-proper manifolds

Classification of spinc manifolds with generalized positive scalar curvature

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