On the space of connections having non-trivial twisted harmonic spinors
Differential Geometry
2015-10-28 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We consider Dirac operators on odd-dimensional compact spin manifolds which are twisted by a product bundle. We show that the space of connections on the twisting bundle which yield an invertible operator has infinitely many connected components if the untwisted Dirac operator is invertible and the dimension of the twisting bundle is sufficiently large.
Keywords
Cite
@article{arxiv.1506.04236,
title = {On the space of connections having non-trivial twisted harmonic spinors},
author = {Francesco Bei and Nils Waterstraat},
journal= {arXiv preprint arXiv:1506.04236},
year = {2015}
}
Comments
9 pages