The Index Theorem for Toeplitz Operators as a Corollary of Bott Periodicity

preprint2020arXivOpen access

Abstract

This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel's theorem. We prove Boutet de Monvel's theorem as a corollary of Bott periodicity, and independently of the Atiyah-Singer index theorem.

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