Bo Liu, Mengqing Zhan
Published 2023-05-31Version 1
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.
Analytic surgery and gluing of the Bismut-Lott torsion form and eta form
On the geometry of the space of fibrations
Degeneration at $E_2$ of Certain Spectral Sequences
![QR code for arXiv:2305.19637 [math.DG]](http://oss.arxitics.com/images/favicon.svg)