2/18/2005

Werner Mueller
Institute for Advanced Study

Regularized determinants of Laplace type operators and analytic surgery

Analytic surgery is a special type of a singular deformation of a Riemannian metric on a closed manifold modeling surgery in the sense of cutting the manifold along a hypersurface. The corresponding singular limit is a complete manifold with cylindrical ends. In the talk I will discuss the behavior of regularized determinants of Laplace type operators under such metric degenerations. Applications are, for example, surgery formulas for determinants and related spectral invariants.