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Analytical index and eta forms for Dirac operators with one-dimensional kernel over a hypersurface (1503.02002v4)
Published 6 Mar 2015 in math.DG
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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