Comparison of perturbed Dirac operators

Authors:
Jeffrey Fox and Peter Haskell

Journal:
Proc. Amer. Math. Soc. **124** (1996), 1601-1608

MSC (1991):
Primary 58G10

DOI:
https://doi.org/10.1090/S0002-9939-96-03263-7

MathSciNet review:
1317036

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Jeffrey Fox**

Affiliation:
Mathematics Department, University of Colorado, Boulder, Colorado 80309

Email:
jfox@euclid.colorado.edu

**Peter Haskell**

Affiliation:
Mathematics Department, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061

Email:
haskell@math.vt.edu

DOI:
https://doi.org/10.1090/S0002-9939-96-03263-7

Keywords:
Perturbed Dirac operator

Received by editor(s):
October 24, 1994

Additional Notes:
Jeffrey Fox’s work was supported by the National Science Foundation. \endgraf Peter Haskell’s work was supported by the National Science Foundation under Grant No. DMS-9204275.

Communicated by:
Palle E. T. Jorgensen

Article copyright:
© Copyright 1996
American Mathematical Society