{
  "id": "2205.02080",
  "version": "v1",
  "published": "2022-05-04T14:20:08.000Z",
  "updated": "2022-05-04T14:20:08.000Z",
  "title": "Formality of cochains on BG",
  "authors": [
    "David Benson",
    "John Greenlees"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $G$ be a compact Lie group with maximal torus $T$. If $|N_G(T)/T|$ is invertible in the field $k$ then the algebra of cochains $C^*(BG;k)$ is formal as an $A_\\infty$ algebra, or equivalently as a DG algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-04T14:20:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57T10"
    ],
    "keywords": [
      "compact lie group",
      "dg algebra",
      "maximal torus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}