Burghelea-Friedlander-Kappeler's gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion

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dc.creatorLee, Yoonweon
dc.date2003-04-18
dc.date2003-04-19
dc.date.accessioned2026-07-07T04:57:00Z
dc.date.available2026-07-07T04:57:00Z
dc.descriptionThe gluing formula of the zeta-determinant of a Laplacian given by Burghelea, Friedlander and Kappeler contains an unknown constant. In this paper we compute this constant to complete the formula under the assumption of the product structure near boundary. As applications of this result,we prove the adiabatic decomposition theorems of the zeta-determinant of a Laplacian with respect to the Dirichlet and Neumann boundary conditions and of the analytic torsion with respect to the absolute and relative boundary conditions.
dc.description24 pages, AMS-Tex
dc.identifierhttps://arxiv.org/abs/math/0304250
dc.identifierhttp://arxiv.org/abs/math/0304250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67126
dc.subjectDifferential Geometry
dc.subject58J52, 58J50
dc.titleBurghelea-Friedlander-Kappeler's gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion
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