{
  "id": "1301.2688",
  "version": "v1",
  "published": "2013-01-12T14:03:19.000Z",
  "updated": "2013-01-12T14:03:19.000Z",
  "title": "On the string topology category of compact Lie groups",
  "authors": [
    "Shoham Shamir"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AT",
    "math.KT"
  ],
  "abstract": "This paper examines the string topology category of a manifold, defined by Blumberg, Cohen and Teleman. Since the string topology category is a subcategory of a compactly generated triangulated category, the machinery of stratification, constructed by Benson, Krause and Iyengar, can be applied in order to gain an understanding of the string topology category. It is shown that an appropriate stratification holds when the manifold in question is a simply connected compact Lie group. This last result is used to derive some properties of the relevant string topology categories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-12T14:03:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "string topology category",
      "simply connected compact lie group",
      "appropriate stratification holds",
      "relevant string topology categories",
      "paper examines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}