Bismut-Cheeger eta form and higher spectral flow
Differential Geometry
2022-08-24 v2 Spectral Theory
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.
Keywords
Cite
@article{arxiv.2105.01926,
title = {Bismut-Cheeger eta form and higher spectral flow},
author = {Bo Liu},
journal= {arXiv preprint arXiv:2105.01926},
year = {2022}
}
Comments
25 pages, to appear in IMRN