Scattering Matrix and Analytic Torsion
Differential Geometry
2021-02-24 v2
Abstract
For a compact manifold, which has a part isometric to a cylinder of finite length, we consider an adiabatic limit procedure, in which the length of the cylinder tends to infinity. We study the asymptotic of the spectrum of Hodge-Laplacian and the asymptotic of the -metric on de Rham cohomology. As an application, we give a pure analytic proof of the gluing formula for analytic torsion.
Cite
@article{arxiv.1605.01430,
title = {Scattering Matrix and Analytic Torsion},
author = {Martin Puchol and Yeping Zhang and Jialin Zhu},
journal= {arXiv preprint arXiv:1605.01430},
year = {2021}
}
Comments
56 pages