{
  "id": "1807.01338",
  "version": "v1",
  "published": "2018-07-03T18:26:48.000Z",
  "updated": "2018-07-03T18:26:48.000Z",
  "title": "Equivariant group presentations and the second homology group of the Torelli group",
  "authors": [
    "Martin Kassabov",
    "Andrew Putman"
  ],
  "comment": "13 pages, 2 figures",
  "categories": [
    "math.GT",
    "math.AT",
    "math.GR"
  ],
  "abstract": "We develop a theory of equivariant group presentations and relate them to the second homology group of a group. Our main application says that the second homology group of the Torelli subgroup of the mapping class group is finitely generated as an $Sp(2g,\\mathbb{Z})$-module.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-03T18:26:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second homology group",
      "equivariant group presentations",
      "torelli group",
      "main application says",
      "torelli subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}