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

Paul F. Baum; Erik Van Erp

doi:10.1093/qmath/haab008

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

Paul F. Baum
, Erik Van Erp

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel's theorem [5]. We prove Boutet de Monvel's theorem as a corollary of Bott periodicity, and independently of the Atiyah-Singer index theorem.

Original language	English (US)
Pages (from-to)	547-569
Number of pages	23
Journal	Quarterly Journal of Mathematics
Volume	72
Issue number	1-2
DOIs	https://doi.org/10.1093/qmath/haab008
State	Published - Jun 1 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel's theorem [5]. 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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AB - This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel's theorem [5]. 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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The Index Theorem for Toeplitz Operators as a Corollary of Bott Periodicity

Abstract

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