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 yields 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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Research Article| September 22 2015
On the space of connections having non-trivial twisted harmonic spinors
Francesco Bei, Nils Waterstraat; On the space of connections having non-trivial twisted harmonic spinors. J. Math. Phys. 1 September 2015; 56 (9): 093505. https://doi.org/10.1063/1.4931368
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