{
  "id": "1705.09365",
  "version": "v1",
  "published": "2017-05-25T21:13:42.000Z",
  "updated": "2017-05-25T21:13:42.000Z",
  "title": "Four approaches to cohomology theories with reality",
  "authors": [
    "J. P. C. Greenlees"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We give an account of well known calculations of the RO(Q)-graded coefficient rings of some of the most basic Q-equivariant cohomology theories, where Q is a group of order 2. One purpose is to advertise the effectiveness of the Tate square, showing it has advantages over the slice spectral sequences in algebraically simple cases. A second purpose is to give a single account showing how to translate between the languages of different approaches.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-25T21:13:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N91"
    ],
    "keywords": [
      "approaches",
      "basic q-equivariant cohomology theories",
      "slice spectral sequences",
      "coefficient rings",
      "tate square"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}