Bismut-Cheeger Eta Form and Higher Spectral Flow

Bo Liu

doi:10.1093/imrn/rnac157

Bismut-Cheeger Eta Form and Higher Spectral Flow

Bo Liu^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We prove the variation formula, the embedding formula, and the adiabatic limit formula for equivariant Bismut-Cheeger eta forms with a fiberwise compact Lie group action. We only need the condition that the kernels of corresponding fiberwise Dirac operators form vector bundles.

Original language	English
Pages (from-to)	10964-10996
Number of pages	33
Journal	International Mathematics Research Notices
Volume	2023
Issue number	13
DOIs	https://doi.org/10.1093/imrn/rnac157
State	Published - 1 Jun 2023

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abstract = "We prove the variation formula, the embedding formula, and the adiabatic limit formula for equivariant Bismut-Cheeger eta forms with a fiberwise compact Lie group action. We only need the condition that the kernels of corresponding fiberwise Dirac operators form vector bundles.",

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AB - We prove the variation formula, the embedding formula, and the adiabatic limit formula for equivariant Bismut-Cheeger eta forms with a fiberwise compact Lie group action. We only need the condition that the kernels of corresponding fiberwise Dirac operators form vector bundles.

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Bismut-Cheeger Eta Form and Higher Spectral Flow

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