Adiabatic Limit, Heat Kernel and Analytic Torsion

We study the uniform behavior of the heat kernel under the adiabatic limit using microlocal analysis and apply it to derive a formula for the analytic torsion. Keywords: adiabatic limit; heat kernel; singularity; microlocal analysis; analytic torsion

Bibliographic Details
Main Authors: Dai, Xianzhe, Melrose, Richard B
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Springer 2018
Online Access:http://hdl.handle.net/1721.1/115911
https://orcid.org/0000-0002-1494-8228