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Comparison of perturbed Dirac operators
Author(s):
Jeffrey
Fox;
Peter
Haskell
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1601-1608.
MSC (1991):
Primary 58G10
MathSciNet review:
1317036
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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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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:
10.1090/S0002-9939-96-03263-7
PII:
S 0002-9939(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
Copyright of article:
Copyright
1996,
American Mathematical Society
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