{
  "id": "math/0309369",
  "version": "v2",
  "published": "2003-09-22T23:51:46.000Z",
  "updated": "2005-01-07T05:11:52.000Z",
  "title": "On Kontsevich's Hochschild cohomology conjecture",
  "authors": [
    "P. Hu",
    "I. Kriz",
    "A. A. Voronov"
  ],
  "comment": "29 pages; final version, to appear in Compos. Math",
  "categories": [
    "math.AT",
    "math.QA",
    "math.RA"
  ],
  "abstract": "Let an n-algebra mean an algebra over the chain complex of the little n-cubes operad. We give a proof of Kontsevich's conjecture, which states that for a suitable notion of Hochschild cohomology in the category of n-algebras, the Hochschild cohomology complex of an n-algebra is an (n+1)-algebra. This generalizes a conjecture by Deligne for n=1, now proven by several authors.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-01-07T05:11:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E40",
      "18D50",
      "17A30",
      "17A42",
      "18C15",
      "55P48"
    ],
    "keywords": [
      "kontsevichs hochschild cohomology conjecture",
      "little n-cubes operad",
      "hochschild cohomology complex",
      "chain complex",
      "kontsevichs conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......9369H"
    }
  }
}