Continuity properties of the spectral shift function for massless Dirac operators and an application to the Witten index
- Math Physics Seminar
- Thursday, March 16, 2023 - 12:00 for 1 hour (actually 50 minutes)
- Skiles 005
- Fritz Gesztesy – Baylor University – Fritz_Gesztesy@baylor.edu
We report on recent results regarding the limiting absorption principle for multi-dimensional, massless Dirac-type operators (implying absence of singularly continuous spectrum) and continuity properties of the associated spectral shift function.
We will motivate our interest in this circle of ideas by briefly describing the connection to the notion of the Witten index for a certain class of non-Fredholm operators.
This is based on various joint work with A. Carey, J. Kaad, G. Levitina, R. Nichols, D. Potapov, F. Sukochev, and D. Zanin.