The squared Lorentzian Dirac operator on small Minkowski perturbations has real spectrum plus isolated resonances, and a zeta-function residue equals the scalar curvature plus twisting curvature.
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Dirac operators and local invariants on perturbations of Minkowski space
The squared Lorentzian Dirac operator on small Minkowski perturbations has real spectrum plus isolated resonances, and a zeta-function residue equals the scalar curvature plus twisting curvature.