Abstract
Let M be a closed spin manifold of dimension n ≡ 3 mod 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.
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Waterstraat, N. A remark on the space of metrics having nontrivial harmonic spinors. J. Fixed Point Theory Appl. 13, 143–149 (2013). https://doi.org/10.1007/s11784-013-0096-5
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DOI: https://doi.org/10.1007/s11784-013-0096-5