{
  "id": "1610.03970",
  "version": "v1",
  "published": "2016-10-13T08:17:38.000Z",
  "updated": "2016-10-13T08:17:38.000Z",
  "title": "The bv algebra in string topology of classifying spaces",
  "authors": [
    "Katsuhiko Kuribayashi",
    "Luc Menichi"
  ],
  "categories": [
    "math.AT",
    "math.GT",
    "math.QA"
  ],
  "abstract": "For almost any compact connected Lie group $G$ and any field $\\mathbb{F}\\_p$, we compute the Batalin-Vilkoviskyalgebra $H^{*+\\text{dim }G}(LBG;\\mathbb{F}\\_p)$ on the loop cohomology of the classifying space introduced byChataur and the second author.In particular, if $p$ is odd or $p=0$, this Batalin-Vilkovisky algebra is isomorphicto the Hochschild cohomology $HH^*(H\\_*(G),H\\_*(G))$. Over $\\mathbb{F}\\_2$, such isomorphism of Batalin-Vilkovisky algebrasdoes not hold when $G=SO(3)$ or $G=G\\_2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-13T08:17:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classifying space",
      "bv algebra",
      "string topology",
      "compact connected lie group",
      "hochschild cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}