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arXiv · 1503.02002

Analytical index and eta forms for Dirac operators with one-dimensional kernel over a hypersurface

Anja Wittmann
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Abstract

We generalize the transgression formula for the eta form of Bismut, Cheeger and Berline, Getzler, Vergne for vertical Dirac operators on a fibre bundle with odd dimensional fibres where the Dirac operators have locally at most one eigenvalue of multiplicity one crossing zero transversally.

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Anja Wittmann. 2015-03-06. Analytical index and eta forms for Dirac operators with one-dimensional kernel over a hypersurface. https://arxiv.org/abs/1503.02002

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