{
  "id": "1304.6802",
  "version": "v1",
  "published": "2013-04-25T05:25:58.000Z",
  "updated": "2013-04-25T05:25:58.000Z",
  "title": "Behavior of the Eilenberg-Moore spectral sequence in derived string topology",
  "authors": [
    "Katsuhiko Kuribayashi",
    "Luc Menichi",
    "Takahito Naito"
  ],
  "comment": "20 pages, this is one of two preprints divided from \"Derived string topology and the Eilenberg-Moore spectral sequence\" arXiv:1211.6833 by the same authors, the proof of Theorem 3.2 is revised",
  "categories": [
    "math.AT"
  ],
  "abstract": "The purpose of this paper is to give applications of the Eilenberg-Moore type spectral sequence converging to the relative loop homology algebra of a Gorenstein space, which is introduced in the previous paper due to the authors. Moreover, it is proved that the spectral sequence is functorial on the category of simply-connected Poincar\\'e duality spaces over a space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-25T05:25:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eilenberg-moore spectral sequence",
      "derived string topology",
      "eilenberg-moore type spectral sequence converging",
      "simply-connected poincare duality spaces",
      "relative loop homology algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6802K"
    }
  }
}