The generators of the K-groups of the sphere

Schulz-Baldes H, Stoiber T (2023)

Publication Type: Journal article

Publication year: 2023


Book Volume: 41

Article Number: 125519

Journal Issue: 4

DOI: 10.1016/j.exmath.2023.125519


This note presents an elementary iterative construction of the generators for the complex K-groups Ki(C(Sd)) 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.

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Schulz-Baldes, H., & Stoiber, T. (2023). The generators of the K-groups of the sphere. Expositiones Mathematicae, 41(4).


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

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