Index theory for perturbed Dirac operators on manifolds with conical singularities

Fox, Jeffrey; Haskell, Peter

doi:10.1090/S0002-9939-1995-1243166-4

Index theory for perturbed Dirac operators on manifolds with conical singularities
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by Jeffrey Fox and Peter Haskell

Proc. Amer. Math. Soc. 123 (1995), 2265-2273

DOI: https://doi.org/10.1090/S0002-9939-1995-1243166-4

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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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