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^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	10964-10996
页数	33
期刊	International Mathematics Research Notices
卷	2023
期	13
DOI	https://doi.org/10.1093/imrn/rnac157
出版状态	已出版 - 1 6月 2023

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10.1093/imrn/rnac157

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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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