{
  "id": "1908.04448",
  "version": "v1",
  "published": "2019-08-13T00:58:39.000Z",
  "updated": "2019-08-13T00:58:39.000Z",
  "title": "Cohomology of the classifying spaces of $U(n)$-gauge groups over the 2-sphere",
  "authors": [
    "Masahiro Takeda"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "A gauge group is the topological group of automorphisms of a principal bundle. We compute the integral cohomology ring of the classifying spaces of gauge groups of principal U(n)-bundles over the 2-sphere by generalizing the operation for free loop spaces, called the free double suspension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-13T00:58:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R40"
    ],
    "keywords": [
      "gauge group",
      "classifying spaces",
      "free loop spaces",
      "free double suspension",
      "principal bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}