The generators of the K-groups of the sphere

Schulz-Baldes H, Stoiber T (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Expositiones Mathematicae Elsevier

Book Volume: 41

Article Number: 125519

Journal Issue: 4

DOI: 10.1016/j.exmath.2023.125519

Abstract

This note presents an elementary iterative construction of the generators for the complex K-groups Ki(C(S^d)) of the d-dimensional spheres. These generators are explicitly given as the restrictions of Dirac or Weyl Hamiltonians to the unit sphere. Connections to solid state physics are briefly elaborated on.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

Yeshiva University

United States (USA) (US)

How to cite

APA:

Schulz-Baldes, H., & Stoiber, T. (2023). The generators of the K-groups of the sphere. Expositiones Mathematicae, 41(4). https://dx.doi.org/10.1016/j.exmath.2023.125519

MLA:

Schulz-Baldes, Hermann, and Tom Stoiber. "The generators of the K-groups of the sphere." Expositiones Mathematicae 41.4 (2023).

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