An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary

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. We prove that the index of this operator is given by the same expression as in the index formula of Atiyah-Patod...

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Bibliographic Details
Main Authors: Christian Baer, Alexander Strohmaier
Format: Default Article
Published: 2019
Subjects:
Other mathematical sciences not elsewhere classified
Lorentzian manifolds
Cauchy boundary
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/20035
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