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arXiv · 2105.01926

Bismut-Cheeger eta form and higher spectral flow

Bo Liu
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Abstract

In this paper, using the equivariant version of the Dai-Zhang higher spectral flow, we generalize the variation formula, embedding formula and the adiabatic limit formula for the Atiyah-Patodi-Singer eta invariants to the equivariant Bismut-Cheeger eta forms for a fiberwise compact Lie group action when the kernels of corresponding fiberwise Dirac operators form equivariant vector bundles.

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Bo Liu. 2021-05-05. Bismut-Cheeger eta form and higher spectral flow. https://arxiv.org/abs/2105.01926

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