Index theory on Lorentzian manifolds

• Applicant: Professor Dr. Christian Bär
• Subject Area: Mathematics
• Term: from 2017 to 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 339379705

Index theory for hyperbolic equations on Lorentzian manifolds has recently been initiated. This has already had applications in quantum field theory.The index theorem of the applicant and A. Strohmaier applies to Lorentzian manifolds with compact Cauchy hypersurfaces. In this project Lorentzian index theory will be developed further and, in particular, the assumption on spatial compactness will be relaxed. This will allow for further physical applications.

• DFG Programme: Priority Programmes
• Subproject of: SPP 2026: Geometry at Infinity
• International Connection: United Kingdom
• Co-Investigators: Privatdozent Dr. Olaf Müller; Professor Dr. Alexander Strohmaier