Asymptotic expansions of the zeta-determinants of Dirac Laplacians on a compact manifold with boundary

DOI10.1007/BF02922134zbMath1109.58032OpenAlexW2091553789MaRDI QIDQ2508670

Publication date: 20 October 2006

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

Full work available at URL: https://doi.org/10.1007/bf02922134

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Determinants and determinant bundles, analytic torsion (58J52)

Cites Work

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Adiabatic decomposition of the \(\zeta\)-determinant and scattering theory
Mayer-Vietoris type formula for determinants of elliptic differential operators
Eta invariants and manifolds with boundary
Mayer-Vietoris formula for determinants of elliptic operators of Laplace-Beltrami type (after Burghelea, Friedlander and Kappeler)
Burghelea-Friedlander-Kappeler's gluing formula and the adiabatic decomposition of the zeta-determinant of a Dirac Laplacian
Zeta determinants on manifolds with boundary
Decomposition of the \(\zeta\)-determinant for the Laplacian on manifolds with cylindrical end
Zero sets of solutions to semilinear elliptic systems of first order
On the \(\eta\)-invariant of generalized Atiyah-Patodi-Singer boundary value problems
Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants
Adiabatic decomposition of the \(\xi\)-determinant and Dirichlet to Neumann operator
ADIABATIC DECOMPOSITION OF THE -DETERMINANT OF THE DIRAC LAPLACIAN. I. THE CASE OF AN INVERTIBLE TANGENTIAL OPERATOR
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
Determinant relatif et la fonction XI
Théorie spectrale de quelques variétés à bouts
Mayer-Vietoris Formulas for the Determinant of a Laplace Operator on a Even-Dimensional Manifold
Self-adjoint elliptic operators and manifold decompositions part I: Low Eigenmodes and stretching

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