JournalsjstVol. 16, No. 1pp. 271–297

A generalized winding number formula for the Witten index of a Toeplitz operator

A generalized winding number formula for the Witten index of a Toeplitz operator cover
Download PDF

This article is published open access under our Subscribe to Open model.

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 this article

Masaki Izumi, A generalized winding number formula for the Witten index of a Toeplitz operator. J. Spectr. Theory 16 (2026), no. 1, pp. 271–297

DOI 10.4171/JST/593