18.04.2024, 16:15
– Raum 1.10
Forschungsseminar Differentialgeometrie
Spinstrukturen und Dirac-Operator
Christian Bär (UP)
Alexander Strohmaier
I will review some known general expansions of microlocal spectral counting functions of Dirac and Laplace operators. In special cases these relate directly to heat kernel coefficients. I will then explain some differences between expansions for Laplace and Dirac type operators and show that generalized Dirac operators can be characterized amongst Dirac type operators by the vanishing of a certain coefficient appearing in the expansion of the spectral counting function. (Joint work with Liangpan Li)