Mayer-Vietoris formula for the determinant of a Laplace operator on an even-dimensional manifold
Abstract: Let be a Laplace operator acting on differential p-forms on an even-dimensional manifold M. Let be a submanifold of codimension 1. We show that if B is a Dirichlet boundary condition and R is a Dirichlet-Neumann operator on , then and . This result was established in 1992 by Burghelea, Friedlander, and Rappeler for a 2-dimensional manifold with .
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