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

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.

preprint2015arXivOpen access
Francesco BeiNils Waterstraat
math-phmath.MPmath.SPmath.DG
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Francesco BeiNils Waterstraat

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