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

Published 6 Oct 2020 in math.FA | (2010.02906v2)

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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