The additivity of the \(\eta\)-invariant. The case of a singular tangential operator

DOI10.1007/BF02099475zbMath0837.58030MaRDI QIDQ1894862

Krzysztof P. Wojciechowski

Publication date: 26 July 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Dirac operatoreta invariant

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (10)

Adiabatic decomposition of the \(\zeta\)-determinant and scattering theory ⋮ Analytic surgery of the zeta function ⋮ On the \(\eta\)-invariant of certain nonlocal boundary value problems ⋮ On the gluing problem for the spectral invariants of Dirac operators ⋮ Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants ⋮ On gluing formulas for the spectral invariants of Dirac type operators ⋮ The Regularity of the Eta Function for Perturbations of Order -(dim X) of the Atiyah-Patodi-Singer Boundary Problem ⋮ Analytic surgery and the eta invariant ⋮ On the gluing problem for Dirac operators on manifolds with cylindrical ends ⋮ ADIABATIC DECOMPOSITION OF THE -DETERMINANT OF THE DIRAC LAPLACIAN. I. THE CASE OF AN INVERTIBLE TANGENTIAL OPERATOR

Cites Work

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• Residues of the eta function for an operator of Dirac type
• Pseudo-differential projections and the topology of certain spaces of elliptic boundary value problems
• Analytic surgery and the eta invariant
• On the \(\eta\)-invariant of generalized Atiyah-Patodi-Singer boundary value problems
• Spectral asymmetry and Riemannian Geometry. I
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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