On the gluing problem for Dirac operators on manifolds with cylindrical ends
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Publication:2577091
DOI10.1007/BF02922197zbMath1085.58017MaRDI QIDQ2577091
Publication date: 3 January 2006
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Dirac operatorseta invariantb-calculus\(\zeta\)-determinantsmanifolds with cylindrical endsgluing formulascomparison formulas
Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52)
Related Items
Analytic surgery of the zeta function, On the gluing problem for the spectral invariants of Dirac operators, Relative zeta-determinants of Dirac Laplacians on a half-infinite cylinder with boundary conditions in the smooth, self-adjoint Grassmannian
Cites Work
- Mayer-Vietoris type formula for determinants of elliptic differential operators
- Relative zeta functions, relative determinants and scattering theory
- Analytic surgery and analytic torsion
- The \(\zeta\)-determinant and the additivity of the \(\eta\)-invariant on the smooth, self-adjoint Grassmannian
- Eta invariants and manifolds with boundary
- Generalized Ray-Singer conjecture. I: A manifold with a smooth boundary
- A signature formula for manifolds with corners of codimension two
- Spectral boundary conditions for generalizations of Laplace and Dirac operators
- The \(\zeta\)-determinant and Quillen determinant for a Dirac operator on a manifold with boundary
- Scattering theory and adiabatic decomposition of the \(\zeta\)-determinant of the Dirac Laplacian
- Zeta determinants on manifolds with boundary
- Decomposition of the \(\zeta\)-determinant for the Laplacian on manifolds with cylindrical end
- Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems
- Analytic surgery and the eta invariant
- On the gluing problem for the \(\eta\)-invariant
- The additivity of the \(\eta\)-invariant. The case of a singular tangential operator
- Analytic surgery and the accumulation of eigenvalues
- On the \(\eta\)-invariant of generalized Atiyah-Patodi-Singer boundary value problems
- On the \(\eta\)-invariant of certain nonlocal boundary value problems
- On the gluing problem for the spectral invariants of Dirac operators
- R-torsion and the Laplacian on Riemannian manifolds
- TEMPERED OPERATORS AND THE HEAT KERNEL AND COMPLEX POWERS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS
- ADIABATIC DECOMPOSITION OF THE -DETERMINANT OF THE DIRAC LAPLACIAN. I. THE CASE OF AN INVERTIBLE TANGENTIAL OPERATOR
- The -determinant of generalized APS boundary problems over the cylinder
- Spectral asymmetry and Riemannian Geometry. I
- η-invariants and determinant lines
- 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
- The [eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary]
- Singular Integrals and Boundary Value Problems
- Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem
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