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arXiv · 1506.04236

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

Francesco Bei·Nils Waterstraat
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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.

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Francesco Bei, Nils Waterstraat. 2015-06-13. On the space of connections having non-trivial twisted harmonic spinors. https://doi.org/10.1063/1.4931368

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