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Regularized determinants of Laplace type operators, analytic surgery and relative determinants

Joern Mueller·Werner Mueller
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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.

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Joern Mueller, Werner Mueller. 2004-11-29. Regularized determinants of Laplace type operators, analytic surgery and relative determinants. https://arxiv.org/abs/math/0411634

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