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arXiv · 1009.5618

Mass endomorphism, surgery and perturbations

Bernd Ammann·Mattias Dahl·Andreas Hermann·Emmanuel Humbert
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Abstract

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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Bernd Ammann, Mattias Dahl, Andreas Hermann, Emmanuel Humbert. 2015-10-27. Mass endomorphism, surgery and perturbations. https://doi.org/10.5802/aif.2855

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