{
  "id": "2405.08256",
  "version": "v1",
  "published": "2024-05-14T01:10:12.000Z",
  "updated": "2024-05-14T01:10:12.000Z",
  "title": "The cohomology of the classifying space of $PU(4)$",
  "authors": [
    "Feifei Fan"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $BPU(n)$ be the classifying space of the projective unitary group $PU(n)$. We determine the integral cohomology ring of $BPU(4)$, and the Steenrod algebra structure of its mod $2$ cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-14T01:10:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classifying space",
      "steenrod algebra structure",
      "projective unitary group",
      "integral cohomology ring"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}