Mass endomorphism, surgery and perturbations
by
Bernd Ammann, Mattias Dahl, Andreas Hermann, Emmanuel Humbert
Mass endomorphism, surgery and perturbations
(.dvi, .ps,.ps.gz or .pdf)
Ann. Inst. Fourier 64, 467-487 (2014)
DOI: 10.5802/aif.2855
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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The Paper was written on 24.9.2010
Last update 28.9.2010