Regularized determinants of Laplace type operators, analytic surgery and relative determinants
Differential Geometry
2007-05-23 v1 Spectral Theory
Abstract
We study the asymptotic behaviour of regularized determinants of certain Laplace type operators with respect to singular deformations of the underlying manifold which are obtained by stretching a tubular neighborhood of an embedded separating hypersurface to a cylinder of infinite length. Using the asymptotic expansions, we derive adiabatic splitting formulas for regularized determinants of Laplace type operators.
Cite
@article{arxiv.math/0411634,
title = {Regularized determinants of Laplace type operators, analytic surgery and relative determinants},
author = {Joern Mueller and Werner Mueller},
journal= {arXiv preprint arXiv:math/0411634},
year = {2007}
}
Comments
43 pages