{
  "id": "1503.03531",
  "version": "v1",
  "published": "2015-03-11T23:10:25.000Z",
  "updated": "2015-03-11T23:10:25.000Z",
  "title": "Gerstenhaber brackets on Hochschild cohomology of twisted tensor products",
  "authors": [
    "Lauren Grimley",
    "Van C. Nguyen",
    "Sarah Witherspoon"
  ],
  "comment": "28 pages",
  "categories": [
    "math.RT",
    "math.QA",
    "math.RA"
  ],
  "abstract": "We construct the Gerstenhaber bracket on Hochschild cohomology of a twisted tensor product of algebras, and, as examples, compute Gerstenhaber brackets for some quantum complete intersections arising in work of Buchweitz, Green, Madsen, and Solberg. We prove that a subalgebra of the Hochschild cohomology ring of a twisted tensor product, on which the twisting is trivial, is isomorphic, as Gerstenhaber algebras, to the tensor product of the respective subalgebras of the Hochschild cohomology rings of the factors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-11T23:10:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "twisted tensor product",
      "gerstenhaber bracket",
      "hochschild cohomology ring",
      "gerstenhaber algebras",
      "quantum complete intersections arising"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}