A generalized winding number formula for the Witten index of a Toeplitz operator
Functional Analysis
2025-01-28 v1 Operator Algebras
Abstract
We generalize the winding number formula for the Fredholm index of a Toeplitz operator to the Witten index. We also show trace formulae involving Toeplitz operators and operator monotone functions.
Cite
@article{arxiv.2501.15436,
title = {A generalized winding number formula for the Witten index of a Toeplitz operator},
author = {Masaki Izumi},
journal= {arXiv preprint arXiv:2501.15436},
year = {2025}
}