Mass endomorphism, surgery and perturbations

Autoren: Bernd Ammann, Mattias Dahl, Andreas Hermann, Emmanuel Humbert (2014)

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.

Zeitschrift:
Ann. Inst. Fourier
Verlag:
UJF Grenoble
Seiten:
467-487
Band:
64, no. 2

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