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.
On the space of connections having non-trivial twisted harmonic spinors / Bei, Francesco; Waterstraat, Nils. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 56:9(2015), p. 093505. [10.1063/1.4931368]
On the space of connections having non-trivial twisted harmonic spinors
Bei, Francesco
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2015
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 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.File allegati a questo prodotto
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