# A remark on the space of metrics having non-trivial harmonic spinors

Waterstraat, Nils (2013) A remark on the space of metrics having non-trivial harmonic spinors. Journal of Fixed Point Theory and Applications, 13 . pp. 143-149. ISSN 1661-7738. (doi:10.1007/s11784-013-0096-5)

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## 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.

Item Type: Article 10.1007/s11784-013-0096-5 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 12:15 UTC 29 May 2019 16:15 UTC https://kar.kent.ac.uk/id/eprint/51390 (The current URI for this page, for reference purposes)
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