Article published

The article “Local Index Theory for Lorentzian Manifolds“ with Alexander Strohmaier has been published: Ann. Sci. Éc. Norm. Supér. (4) 57, No. 6, 1693-1752 (2024).

Index theory for Lorentzian Dirac operators is a young subject with significant differences to elliptic index theory. It is based on microlocal analysis instead of standard elliptic theory and one of the main features is that a nontrivial index is caused by topologically nontrivial dynamics rather than nontrivial topology of the base manifold. In this paper, a local index formula for Lorentzian Dirac-type operators on globally hyperbolic spacetimes is established.