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

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

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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
Additional information: Imported from arXiv
Subjects: Q Science > QA Mathematics (inc Computing science) > QA440 Geometry
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Nils Waterstraat
Date Deposited: 03 Nov 2015 16:41 UTC
Last Modified: 07 Feb 2017 23:05 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/51401 (The current URI for this page, for reference purposes)
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