Decomposition of the Ζ-determinant for the Laplacian on Manifolds with Cylindrical End
نویسندگان
چکیده
In this paper we combine elements of the b-calculus and elliptic boundary problems to solve the decomposition problem for the (regularized) ζ-determinant of the Laplacian on a manifold with cylindrical end into the ζ-determinants of the Laplacians with Dirichlet conditions on the manifold with boundary and on the half infinite cylinder. We also compute all the contributions to this formula explicitly.
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