22.01.2026, 16:15 Uhr
– Raum 1.22, Haus 9
Forschungsseminar Differentialgeometrie
Index theory and spectral flow of Toeplitz operators
Koen van den Dungen (Bonn)
We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on Sasakian and on 3-dimensional manifolds and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.