%0 Journal Article
%T Regularized determinants of Laplace type operators, analytic surgery and relative determinants
%A Joern Mueller
%A Werner Mueller
%J Mathematics
%D 2004
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0411634v1