On spectral flow of transversal Dirac operators and a theorem of Vafa- Witten (Q809425)
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scientific article; zbMATH DE number 4213038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On spectral flow of transversal Dirac operators and a theorem of Vafa- Witten |
scientific article; zbMATH DE number 4213038 |
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On spectral flow of transversal Dirac operators and a theorem of Vafa- Witten (English)
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1991
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The authors obtain a theorem of Vaia-Witten type on uniform bounds for eigenvalues of a family of transversal Dirac operators relative to a Riemannian foliation, the proof of which is based on the concept of spectral flow. The family under consideration is parametrized by a moduli space of basic connections relative to the foliation modulo a suitable group of gauge transformations preserving the foliation.
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Dirac operator
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eigenvalues
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Riemannian foliation
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