2018 | Boundary value problems for the Lorentzian Dirac operator | Christian Bär, Sebastian HannesVerlag: Oxford Univ. PressBuchtitel: A. Dancer, J.E. Andersen, O. García-Prada (eds.): Geometry and PhysicsSeiten: 3-18Band: 1Link zur Publikation , Link zum Preprint
Boundary value problems for the Lorentzian Dirac operator
Autoren: Christian Bär, Sebastian Hannes (2018)
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.