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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Index theory for perturbed Dirac operators on manifolds with conical singularities


Authors: Jeffrey Fox and Peter Haskell
Journal: Proc. Amer. Math. Soc. 123 (1995), 2265-2273
MSC: Primary 58G12; Secondary 47A53, 47F05, 57R15, 57S25
MathSciNet review: 1243166
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Abstract: On an odd-dimensional manifold with isolated conical singularities, we perturb a Dirac operator by a vector bundle endomorphism whose pointwise norm grows in inverse proportion to the distance from the singular set. We give two proofs of an index formula for the resulting Fredholm operator. We mention an application to the index theory of transversally elliptic operators.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1243166-4
PII: S 0002-9939(1995)1243166-4
Keywords: Perturbed Dirac operator, regular singular operator, relative index theory, adiabatic limit of reduced eta invariants, transversally elliptic operator
Article copyright: © Copyright 1995 American Mathematical Society