Eta Form and Spectral Sequence for the Composition of Fibrations
Differential Geometry
2023-06-01 v1
Abstract
In this paper, inspired by the spectral sequences constructed by signature operators with respect to the composition of fibrations, we define the "spectral sequences" for fiberwise Dirac operators and prove the equivariant family version of the adiabatic limit formula of eta invariants using the heat kernel method and the analytic localization techniques established by Bismut-Lebeau. In our formula, the remainder terms are constructed by "spectral sequences" and completely extend those of Dai and Bunke-Ma.
Keywords
Cite
@article{arxiv.2305.19637,
title = {Eta Form and Spectral Sequence for the Composition of Fibrations},
author = {Bo Liu and Mengqing Zhan},
journal= {arXiv preprint arXiv:2305.19637},
year = {2023}
}
Comments
22 pages