Mass endomorphism, surgery and perturbations
Differential Geometry
2015-10-28 v2
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.
Keywords
Cite
@article{arxiv.1009.5618,
title = {Mass endomorphism, surgery and perturbations},
author = {Bernd Ammann and Mattias Dahl and Andreas Hermann and Emmanuel Humbert},
journal= {arXiv preprint arXiv:1009.5618},
year = {2015}
}