Sebastian Hannes
Doctoral student
Universität Potsdam
Telephone: +49 331 977-1195
Homepage: https://www.math.uni-potsdam.de/professu…
Project
5Index theory on Lorentzian manifolds
37Boundary value problems and index theory on Riemannian and 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.
| Publisher | Oxford University Press |
| Book | A. Dancer, J.E. Andersen, O. García-Prada (eds.): Geometry and Physics |
| Volume | 1 |
| Pages | 3-18 |
| Link to preprint version | |
| Link to published version |
Related project(s):
5Index theory on Lorentzian manifolds