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arXiv · 2501.15436

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

Masaki Izumi
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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.

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Masaki Izumi. 2025-01-26. A generalized winding number formula for the Witten index of a Toeplitz operator. https://arxiv.org/abs/2501.15436

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