English

The generators of the K-groups of the sphere

Mathematical Physics 2024-03-29 v1 math.MP

Abstract

This note presents an elementary iterative construction of the generators for the complex KK-groups Ki(C(\SMd))K_i(C(\SM^d)) of the dd-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.

Keywords

Cite

@article{arxiv.2403.18944,
  title  = {The generators of the K-groups of the sphere},
  author = {Hermann Schulz-Baldes and Tom Stoiber},
  journal= {arXiv preprint arXiv:2403.18944},
  year   = {2024}
}