The generators of the K-groups of the sphere

Fuente: arXiv
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Main Authors: Schulz-Baldes, Hermann, Stoiber, Tom
Format: Preprint
Published: 2024
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author Schulz-Baldes, Hermann
Stoiber, Tom
author_facet Schulz-Baldes, Hermann
Stoiber, Tom
contents This note presents an elementary iterative construction of the generators for the complex $K$-groups $K_i(C(\SM^d))$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_18944
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The generators of the K-groups of the sphere
Schulz-Baldes, Hermann
Stoiber, Tom
Mathematical Physics
This note presents an elementary iterative construction of the generators for the complex $K$-groups $K_i(C(\SM^d))$ 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.
title The generators of the K-groups of the sphere
topic Mathematical Physics
url https://arxiv.org/abs/2403.18944