{
  "id": "0911.2811",
  "version": "v2",
  "published": "2009-11-14T21:55:10.000Z",
  "updated": "2011-05-25T06:18:19.000Z",
  "title": "Multiplicative 2-cocycles at the prime 2",
  "authors": [
    "Adam Hughes",
    "JohnMark Lau",
    "Eric Peterson"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AT",
    "math.KT"
  ],
  "abstract": "Using a previous classification result on symmetric additive 2-cocycles, we collect a variety of facts about the Lubin-Tate cohomology of formal groups to compute the 2-primary component of the scheme of symmetric multiplicative 2-cocycles. This scheme classifies certain kinds of highly symmetric multiextensions, as studied in general by Mumford or Breen. A low-order version of this computation has previously found application in homotopy theory through the sigma-orientation of Ando, Hopkins, and Strickland, and the complete computation is reflective of certain structure found in the homotopy type of connective K-theory. This paper has been completely rewritten from its first posted draft, including a correction of the statement of the main result.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-05-25T06:18:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19L41",
      "55N22"
    ],
    "keywords": [
      "multiplicative",
      "classification result",
      "main result",
      "homotopy type",
      "complete computation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.2811H"
    }
  }
}