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

Nils Waterstraat

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arXiv · 1206.0499

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

Nils Waterstraat

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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.

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Nils Waterstraat. 2013-01-01. A remark on the space of metrics having non-trivial harmonic spinors. https://arxiv.org/abs/1206.0499

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