{
  "id": "math/0411043",
  "version": "v3",
  "published": "2004-11-02T12:09:04.000Z",
  "updated": "2006-10-16T11:44:19.000Z",
  "title": "Differential characters and the Steenrod squares",
  "authors": [
    "Kiyonori Gomi"
  ],
  "comment": "10 pages, LaTeX 2e, Introduction revised",
  "categories": [
    "math.AT",
    "math.DG"
  ],
  "abstract": "The groups of differential characters of Cheeger and Simons admit a natural multiplicative structure. The map given by the squares of degree 2k differential characters reduces to a homomorphism of ordinary cohomology groups. We prove that the homomorphism factors through the Steenrod squaring operation of degree 2k. A simple application shows that five-dimensional Chern-Simons theory for pairs of B-fields is SL(2, Z)-invariant on spin manifolds.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-10-16T11:44:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "steenrod squares",
      "degree 2k differential characters reduces",
      "five-dimensional chern-simons theory",
      "ordinary cohomology groups",
      "spin manifolds"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11043G"
    }
  }
}