Decomposition of the \(\zeta\)-determinant for the Laplacian on manifolds with cylindrical end

zbMath1083.58030MaRDI QIDQ1766840

Jinsung Park, Paul Loya

Publication date: 1 March 2005

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (13)

Spectral determinants on Mandelstam diagrams ⋮ The Burghelea-Friedlander-Kappeler–gluing formula for zeta-determinants on a warped product manifold and a product manifold ⋮ Zeta regularized determinants for conic manifolds ⋮ The zeta-determinants of Dirac Laplacians with boundary conditions on the smooth, self-adjoint Grassmannian ⋮ Analytic surgery of the zeta function ⋮ On the gluing problem for the spectral invariants of Dirac operators ⋮ Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants ⋮ Relative zeta-determinants of Dirac Laplacians on a half-infinite cylinder with boundary conditions in the smooth, self-adjoint Grassmannian ⋮ Zeta functions of Dirac and Laplace-type operators over finite cylinders ⋮ On gluing formulas for the spectral invariants of Dirac type operators ⋮ Asymptotic expansions of the zeta-determinants of Dirac Laplacians on a compact manifold with boundary ⋮ Adiabatic decomposition of the \(\xi\)-determinant and Dirichlet to Neumann operator ⋮ On the gluing problem for Dirac operators on manifolds with cylindrical ends

This page was built for publication: Decomposition of the \(\zeta\)-determinant for the Laplacian on manifolds with cylindrical end