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math.DG2020
A long neck principle for Riemannian spin manifolds with positive scalar curvature
Simone Cecchini
We develop index theory on compact Riemannian spin manifolds with boundary in the case when the topological information is encoded by bundles which are supported away from the boun…
math.DG2016
Callias-type operators in von Neumann algebras
Maxim Braverman, Simone Cecchini
We study differential operators on complete Riemannian manifolds which act on sections of a bundle of finite type modules over a von Neumann algebra with a trace. We prove a relati…