Mass endomorphism, surgery and perturbations

Details Mass endomorphism, surgery and perturbations Mass endomorphism, surgery and perturbations

2010-09-28

arxiv.org/abs/1009.5618v1

Mathematics

Differential Geometry

Scientific paper

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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