Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735826 | Journal of Geometry and Physics | 2005 | 26 Pages |
Abstract
We discuss the adiabatic decomposition formula of the ζ-determinant of a Laplace type operator on a closed manifold. We also analyze the adiabatic behavior of the ζ-determinant of a Dirichlet to Neumann operator. This analysis makes it possible to compare the adiabatic decomposition formula with the Mayer-Vietoris type formula for the ζ-determinant proved by Burghelea et al. As a byproduct of this comparison, we obtain the exact value of the local constant which appears in their formula for the case of Dirichlet boundary condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jinsung Park, Krzysztof P. Wojciechowski,