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We show that the Dirac operator on a compact globally hyperbolic Lorentzian spacetime with spacelike Cauchy boundary is a Fredholm operator if appropriate boundary conditions are imposed.
Fourier integral operators. I
L. Hörmander · 1971
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Fourier integral operators. II
J. J. Duistermaat and L. Hörmander · 1972
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Harmonic spinors
N. Hitchin · 1974
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Spectral asymmetry and Riemannian geometry. I
M. F. Atiyah, V. K. Patodi, and I. M. Singer · 1975
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Spectral asymmetry and Riemannian geometry. III
M. F. Atiyah, V. K. Patodi, and I. M. Singer · 1976
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Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten
H. Baum · 1981
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Pseudodifferential operators
M. E. Taylor · 1981
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On the propagation of polarization sets for systems of real principal type
N. Dencker · 1982
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Semi-Riemannian Geometry with Applications to Relativity
B. O’Neill · 1983
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The analysis of linear partial differential operators IV: Fourier Integral Operators
L. Hörmander · 1985
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The index of scattering operators of Dirac equations
T. Matsui · 1987
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The index of scattering operators of Dirac equations, II
T. Matsui · 1990
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The index of the scattering operator on the positive spectral subspace
U. Bunke and T. Hirschmann · 1992
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Metrics with harmonic spinors
C. Bär · 1996
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Normally hyperbolic operators, the Huygens property and conformal geometry
H. Baum and I. Kath · 1996
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Global Lorentzian Geometry, Second Edition
J. K. Beem, P. Ehrlich, and K. Easley · 1996
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Fourier integral operators
Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
A. N. Bernal and M. Sánchez · 2006
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The analysis of linear partial differential operators III: Pseudo-Differential Operators
L. Hörmander · 2007
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High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows
D. Jakobson and A. Strohmaier · 2007
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Boundary value problems for elliptic differential operators of first order
C. Bär and W. Ballmann · 2012
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A rigorous geometric derivation of the chiral anomaly in curved backgrounds
C. Bär and A. Strohmaier · 2016
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The Feynman propagator on perturbations of Minkowski space
J. Gell-Redman, N. Haber, and A. Vasy · 2016
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J. J. Duistermaat · 1996
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Self-adjoint Fredholm operators and spectral flow
J. Phillips · 1996
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Generalized cylinders in semi-Riemannian and Spin geometry
C. Bär, P. Gauduchon, and A. Moroianu · 2005
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The local counting function of operators of Dirac and Laplace type
L. Li and A. Strohmaier · 2016
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A note on invariant temporal functions
O. Müller · 2016
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The chiral index of the fermionic signature operator
F. Finster · 2017
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