A remark on the space of metrics having non-trivial harmonic spinors
Spectral Theory
2013-07-04 v2 Differential Geometry
Abstract
Let M be a closed spin manifold of dimension congruent to 3 modulo 4. We give a simple proof of the fact that the space of metrics on M with invertible Dirac operator is either empty or it has infinitely many path components.
Cite
@article{arxiv.1206.0499,
title = {A remark on the space of metrics having non-trivial harmonic spinors},
author = {Nils Waterstraat},
journal= {arXiv preprint arXiv:1206.0499},
year = {2013}
}
Comments
7 pages, minor modifications, accepted for publication in J. Fixed Point Theory Appl