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Index Theory for Globally Hyperbolic Spacetimes

Published 23 Oct 2019 in math.SP and math.OA | (1910.10452v1)

Abstract: An equality between the spectral flow of a family $A$ of self-adjoint Fredholm operators and the index of the associated differential operator $\frac{d}{dt}-iA$ 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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Authors (1)

  1. Lennart Ronge 

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