15.05.2025, 16:15
– Haus 9, Raum 1.22
Forschungsseminar Differentialgeometrie
Harmonic morphisms: Minimal submanifolds and polynomials
Oskar Riedler
Sebastian Hannes
On a globally hyperbolic spacetime the Lorentzian Dirac Operator under APS boundary conditions is Fredholm and its kernel consists of smooth spinors. We will discuss a certain class of boundary conditions that are obtained by continuous deformations of the APS conditions. We will see under which assumptions these boundary conditions give again rise to a Fredholm operator and look at an approach to finding deformations such that the kernel again consists of smooth spinors.