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

DOI10.1093/qmath/haab008zbMath1472.47009arXiv2010.02906OpenAlexW3130702530MaRDI QIDQ4956658

Paul F. Baum, Erik van Erp

Publication date: 2 September 2021

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.02906

zbMATH Keywords

Chern characterTodd classclosed manifoldscompact manifolds with boundarybordism invarianceproduct lemmaCalderon projection

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Fredholm structures on infinite-dimensional manifolds (58B15) Spin and Spin({}^c) geometry (53C27)

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