{
  "id": "1605.07401",
  "version": "v1",
  "published": "2016-05-24T12:12:48.000Z",
  "updated": "2016-05-24T12:12:48.000Z",
  "title": "The $ER(2)$-cohomology of $B\\mathbb{Z}/(2^q)$ and $\\mathbb{C}P^n$",
  "authors": [
    "Nitu Kitchloo",
    "Vitaly Lorman",
    "W. Stephen Wilson"
  ],
  "comment": "23 pages, comments welcome",
  "categories": [
    "math.AT"
  ],
  "abstract": "The $ER(2)$-cohomology of $B\\mathbb{Z}/(2^q)$ and $\\mathbb{C}P^n$ are computed along with the Atiyah-Hirzebruch spectral sequence for $ER(2)^*(\\mathbb{C}P^\\infty)$. This, along with other papers in this series, gives us the $ER(2)$-cohomology of all Eilenberg-MacLane spaces. Since $ER(2)$ is $TMF_0(3)$ after a suitable completion, these computations also take care of that theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-24T12:12:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P91",
      "55N22",
      "55N91"
    ],
    "keywords": [
      "cohomology",
      "atiyah-hirzebruch spectral sequence",
      "eilenberg-maclane spaces",
      "suitable completion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}