{
  "id": "1209.2773",
  "version": "v4",
  "published": "2012-09-13T03:27:26.000Z",
  "updated": "2013-05-17T04:23:08.000Z",
  "title": "Nonabelian Poincare duality after stabilizing",
  "authors": [
    "Jeremy Miller"
  ],
  "comment": "33 pages, 5 figures. arXiv admin note: text overlap with arXiv:1210.7377",
  "categories": [
    "math.AT"
  ],
  "abstract": "We generalize the nonabelian Poincare duality theorems of Salvatore in [Sal01] and Lurie in [Lur09] to the case of not necessarily grouplike E_n-algebras (in the category of spaces). We define a stabilization procedure based on McDuff's \"brining points in from infinity\" maps from [McD75]. For open connected parallelizable n-manifolds, we prove that, after stabilizing, the topological chiral homology of M with coefficients in an E_n-algebra A, is homology equivalent to Map^c(M,B^n A), the space of compactly supported maps to the n-fold classifying space of A. The two models of topological chiral homology used in this paper are Andrade's model from [And10] and Salvatore's from [Sal01].",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-05-17T04:23:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P48"
    ],
    "keywords": [
      "topological chiral homology",
      "nonabelian poincare duality theorems",
      "stabilizing",
      "n-fold classifying space",
      "homology equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.2773M"
    }
  }
}