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Sebastian Hannes

Doctoral student


Universität Potsdam

E-mail: shannes(at)math.uni-potsdam.de
Telephone: +49 331 977-1195
Homepage: https://www.math.uni-potsdam.de/professu…

Project

5Index theory on Lorentzian manifolds

Publications within SPP2026

On a compact globally hyperbolic Lorentzian spin manifold with smooth spacelike Cauchy boundary the (hyperbolic) Dirac operator is known to be Fredholm when Atiyah-Patodi-Singer boundary conditions are imposed. In this paper we investigate to what extent these boundary conditions can be replaced by more general ones and how the index then changes. There are some differences to the classical case of the elliptic Dirac operator on a Riemannian manifold with boundary.

 

PublisherOxford University Press
BookA. Dancer, J.E. Andersen, O. García-Prada (eds.): Geometry and Physics
Volume1
Pages3-18
Link to preprint version
Link to published version

Related project(s):
5Index theory on Lorentzian manifolds

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