{
  "id": "1601.06199",
  "version": "v1",
  "published": "2016-01-22T23:10:30.000Z",
  "updated": "2016-01-22T23:10:30.000Z",
  "title": "Representation theory and the cycle map of a classifying space",
  "authors": [
    "Masaki Kameko"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "We compute the Chern subgroup of the 4-th integral cohomology group of a certain classifying space and show that it is a proper subgroup. Such a classifying space gives us new counterexamples for the integral Hodge and Tate conjectures modulo torsion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-22T23:10:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "55R40",
      "55R35"
    ],
    "keywords": [
      "classifying space",
      "cycle map",
      "representation theory",
      "tate conjectures modulo torsion",
      "integral cohomology group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160106199K"
    }
  }
}