Perturbations of basic Dirac operators on Riemannian foliations (Q2855493)
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scientific article; zbMATH DE number 6220074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbations of basic Dirac operators on Riemannian foliations |
scientific article; zbMATH DE number 6220074 |
Statements
25 October 2013
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Witten deformation
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Dirac operator
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localization
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Riemannian foliations
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equivariant index
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basic index
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Perturbations of basic Dirac operators on Riemannian foliations (English)
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In the present paper, using the method of Witten deformation, the authors find an expression for the basic index of a transversal Dirac operator over a Riemannian foliation in terms of local quantities associated to the singular set of a foliated bundle map satisfying certain admissibility and nondegeneracy conditions. Some applications and examples of their formula are presented.
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