The ratio of two zeta-determinants of Dirac Laplacians associated with unitary involutions on a compact manifold with cylindrical end

Simple item page
dc.creatorLee, Yoonweon
dc.date2004-08-13
dc.date.accessioned2026-07-07T05:11:15Z
dc.date.available2026-07-07T05:11:15Z
dc.descriptionGiven two unitary involutions $σ_{1}$ and $σ_{2}$ satisfying $G σ_{i} = - σ_{i} G$ on $ker B$ on a compact manifold with cylindrical end, M. Lesch, K. Wojciechowski ([LW]) and W. Müller ([M]) established the formula describing the difference of two eta-invariants with the APS boundary conditions associated with $σ_{1}$ and $σ_{2}$. In this paper we establish the analogous formula for the zeta-determinants of Dirac Laplacians. For the proof of the result we use the Burghelea-Friedlander-Kappeler's gluing formula for zeta-determinants and the scattering theory developed by W. Müller in [M]. This result was also obtained independently by J. Park and K. Wojciechowski ([PW2]).
dc.description23pages
dc.identifierhttps://arxiv.org/abs/math/0408175
dc.identifierhttp://arxiv.org/abs/math/0408175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72178
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject58J52; 58J50
dc.titleThe ratio of two zeta-determinants of Dirac Laplacians associated with unitary involutions on a compact manifold with cylindrical end
dc.typetext

Files

Collections

arXiv