{
  "id": "2403.18944",
  "version": "v1",
  "published": "2024-03-27T18:43:40.000Z",
  "updated": "2024-03-27T18:43:40.000Z",
  "title": "The generators of the K-groups of the sphere",
  "authors": [
    "Hermann Schulz-Baldes",
    "Tom Stoiber"
  ],
  "journal": "Expositiones Mathematicae 41, 125519 (2023)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-27T18:43:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generators",
      "solid state physics",
      "elementary iterative construction",
      "dimensional spheres",
      "weyl hamiltonians"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}