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

2015/03/06 by Wittmann, Anja
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.02002

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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