{
  "id": "1501.04062",
  "version": "v1",
  "published": "2015-01-16T17:39:13.000Z",
  "updated": "2015-01-16T17:39:13.000Z",
  "title": "Infinite symmetric group and bordisms of pseudomanifolds",
  "authors": [
    "Alexander A. Gaifullin",
    "Yury A. Neretin"
  ],
  "comment": "14pp",
  "categories": [
    "math.RT",
    "math.AT",
    "math.GR",
    "math.GT"
  ],
  "abstract": "We consider a category whose morphisms are bordisms of $n$-dimensional pseudomanifolds equipped with a certain additional structure (coloring). On the other hand, we consider the product $G$ of $(n+1)$ copies of infinite symmetric group. We show that unitary representations of $G$ produce functors from the category of $(n-1)$-dimensional bordisms to the category of Hilbert spaces and bounded linear operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-16T17:39:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C32",
      "05E45",
      "55N22",
      "81T45"
    ],
    "keywords": [
      "infinite symmetric group",
      "additional structure",
      "unitary representations",
      "produce functors",
      "dimensional bordisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150104062G"
    }
  }
}