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Fibered cusp versus $d$- index theory

Sergiu Moroianu
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Abstract

We prove that the indices of fibered-cusp and $d$-Dirac operators on a spin manifold with fibered boundary coincide if the associated family of Dirac operators on the fibers of the boundary is invertible. This answers a question raised by Piazza. Under this invertibility assumption, our method yields an index formula for the Dirac operator of horn-cone and of fibered horn metrics.

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Sergiu Moroianu. 2006-10-24. Fibered cusp versus $d$- index theory. https://arxiv.org/abs/math/0610723

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