Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500046 | Journal of Geometry and Physics | 2017 | 17 Pages |
Abstract
In this paper we use the BFK-gluing formula for zeta-determinants to express the relative determinant of Laplacians on a manifold with cusps by the product of the determinant of a Laplacian on a compact manifold with boundary augmented by the Dirichlet condition and the determinant of the Dirichlet-to-Neumann operator and some other ingredients. We use this result to compute some asymptotic expansions of zeta-determinants of Laplacians on a compact manifold with boundary augmented by the Dirichlet condition when we prolong the boundary part to cusps of infinite lengths.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Klaus Kirsten, Yoonweon Lee,