Index Theory for Globally Hyperbolic Spacetimes
Abstract
An equality between the spectral flow of a family A of self-adjoint Fredholm operators and the index of the associated differential operator ddt-iA with Atiyah-Patodi-Singer-style boundary conditions is shown. This generalizes a result by C.B\"ar and A. Strohmaier used to show their Lorentzian version of the Atiyah-Patodi-Singer Index Theorem.
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