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Mass endomorphism, surgery and perturbations

URN to cite this document:
urn:nbn:de:bvb:355-epub-204848
Ammann, Bernd ; Dahl, Mattias ; Hermann, Andreas ; Humbert, Emmanuel
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Date of publication of this fulltext: 13 Apr 2011 03:45


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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