On the geometry of Riemannian manifolds with a Lie structure at infinity.
Algebras of pseudodifferential operators on complete manifolds.
The Dirac operator on collapsing -bundles
Mass endomorphism, surgery and perturbations
We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.
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