Mayer-Vietoris formula for determinants of elliptic operators of Laplace-Beltrami type (after Burghelea, Friedlander and Kappeler)

DOI10.1016/S0926-2245(96)00053-8zbMath0896.58066arXivdg-ga/9503002OpenAlexW2094881588WikidataQ115337579 ScholiaQ115337579MaRDI QIDQ1385084

Yoonweon Lee

Publication date: 26 April 1998

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9503002

zbMATH Keywords

Dirichlet boundary conditionNeumann boundary conditionregularized determinantelliptic operators of Laplace-Beltrami typeMayer-Vietoris formula

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (10)

Zeta regularized determinants for conic manifolds ⋮ Spectral determinant on Euclidean isosceles triangle envelopes ⋮ Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities ⋮ The zeta-determinants of Dirac Laplacians with boundary conditions on the smooth, self-adjoint Grassmannian ⋮ Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants ⋮ 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 ⋮ Complex valued Ray-Singer torsion II ⋮ Asymptotic expansions of the zeta-determinants of Dirac Laplacians on a compact manifold with boundary ⋮ Genus one polyhedral surfaces, spaces of quadratic differentials on tori and determinants of Laplacians ⋮ Equivalent descriptions of the Loewner energy

Cites Work

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• Spectral functions, special functions and the Selberg zeta function
• Mayer-Vietoris type formula for determinants of elliptic differential operators
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• The Asymptotics of the Determinant Function for a Class of Operators

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