Comparison of perturbed Dirac operators

Fox, Jeffrey; Haskell, Peter

doi:10.1090/S0002-9939-96-03263-7

Comparison of perturbed Dirac operators
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by Jeffrey Fox and Peter Haskell PDF

Proc. Amer. Math. Soc. 124 (1996), 1601-1608 Request permission

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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