The polynomial associated with the BFK-gluing formula of the zeta-determinant on a compact warped product manifold

DOI10.1007/S12220-018-0003-9zbMath1409.58015OpenAlexW2794374668MaRDI QIDQ1711078

Klaus Kirsten, Yoonweon Lee

Publication date: 16 January 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-018-0003-9

zbMATH Keywords

warping functionDirichlet-to-Neumann operatorwarped product metricBFK-gluing formularelative zeta-determinant

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) de Rham cohomology and algebraic geometry (14F40) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (5)

The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface ⋮ Extended actions, dynamics of edge modes, and entanglement entropy ⋮ The gluing formula, conformal scaling, and geometry ⋮ Unnamed Item ⋮ The BFK-gluing formula for zeta-determinants and the conformal rescaling of a metric

Cites Work

• Unnamed Item
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• Functional determinants and geometry
• Spectral functions, special functions and the Selberg zeta function
• Relative index theory
• Mayer-Vietoris type formula for determinants of elliptic differential operators
• Relative zeta functions, relative determinants and scattering theory
• Zero sets of solutions to semilinear elliptic systems of first order
• The spectral zeta function for Laplace operators on warped product manifolds of the type \(I \times _{f } N\)
• Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants
• Essential self-adjointness of powers of generators of hyperbolic equations
• The BFK-gluing formula and relative determinants on manifolds with cusps
• The Burghelea-Friedlander-Kappeler–gluing formula for zeta-determinants on a warped product manifold and a product manifold
• Unique continuation in geometry
• Determinant relatif et la fonction XI
• Mayer-Vietoris Formulas for the Determinant of a Laplace Operator on a Even-Dimensional Manifold

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