Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
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.