Burghelea-Friedlander-Kappeler's gluing formula and the adiabatic decomposition of the zeta-determinant of a Dirac Laplacian

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dc.creatorLee, Yoonweon
dc.date2003-04-23
dc.date2003-04-25
dc.date.accessioned2026-07-07T04:57:16Z
dc.date.available2026-07-07T04:57:16Z
dc.descriptionIn this paper we first establish the relation between the zeta-determinant of a Dirac Laplacian with the Dirichlet boundary condition and the APS boundary condition on a cylinder. Using this result and the gluing formula of the zeta-determinant given by Burghelea, Friedlander and Kappeler with some assumptions, we prove the adiabatic decomposition theorem of the zeta-determinant of a Dirac Laplacian. This result was originally proved by J. Park and K. Wojciechowski in [11] but our method is completely different from the one they presented.
dc.description22pages
dc.identifierhttps://arxiv.org/abs/math/0304347
dc.identifierhttp://arxiv.org/abs/math/0304347
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67207
dc.subjectDifferential Geometry
dc.subject58J52, 58J50
dc.titleBurghelea-Friedlander-Kappeler's gluing formula and the adiabatic decomposition of the zeta-determinant of a Dirac Laplacian
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