19.07.2024, 10:15 - 11:30
– 2.28.0.108
SFB-Kolloquium
SFB Colloquium with Edriss Titi
Edriss Titi , University of Cambridge
Maxim Braverman (Northeastern University)
We show that the (graded) spectral flow of a family of Toeplitz operators on a complete Riemannian manifold is equal to the index of a certain Callias-type operator. When the dimension of the manifold is even this leads to a cohomological formula for the spectral flow.
As an application, we compute the spectral flow of a family of Toeplitz operators on a strongly pseudoconvex domain. This result is similar to the Boutet de Monvel's computation of the index of a single Toeplitz operator on a strongly pseudoconvex domain.
Finally, we show that the bulk-boundary correspondence in the Graf-Porta model of topological insulators is a special case of our result.