Comparison of perturbed Dirac operators |
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| Authors: | Jeffrey Fox Peter Haskell |
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| Affiliation: | Mathematics Department, University of Colorado, Boulder, Colorado 80309 ; Mathematics Department, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061 |
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| Abstract: | This paper extends the index theory of perturbed Dirac operators to a collection of noncompact even-dimensional manifolds that includes both complete and incomplete examples. The index formulas are topological in nature. They can involve a compactly supported standard index form as well as a form associated with a Toeplitz pairing on a hypersurface. |
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| Keywords: | Perturbed Dirac operator |
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