# On the space of connections having non-trivial twisted harmonic spinors

Bei, Francesco, Waterstraat, Nils (2015) On the space of connections having non-trivial twisted harmonic spinors. Journal of Mathematical Physics, . 093505. ISSN 0022-2488. (doi:10.1063/1.4931368)

PDF - Author's Accepted Manuscript
 Preview
Official URL
http://www.dx.doi.org/10.1063/1.4931368

## 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.

Item Type: Article 10.1063/1.4931368 Imported from arXiv Q Science > QA Mathematics (inc Computing science) > QA440 Geometry Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics Nils Waterstraat 03 Nov 2015 16:41 UTC 29 May 2019 16:15 UTC https://kar.kent.ac.uk/id/eprint/51401 (The current URI for this page, for reference purposes)
• Depositors only (login required):