{
  "id": "2309.00977",
  "version": "v1",
  "published": "2023-09-02T16:26:14.000Z",
  "updated": "2023-09-02T16:26:14.000Z",
  "title": "Improved stability ranges in the homology of Torelli and congruence subgroups",
  "authors": [
    "Cihan Bahran"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AT",
    "math.GR",
    "math.GT",
    "math.RT"
  ],
  "abstract": "We improve the central stability ranges for +H2(Torelli subgroup of Aut(Fn)'s) as GL_n(Z)-representations, +H2(Torelli subgroup of mapping class groups) as Sp_2g(Z)-representations, +Hk(congruence subgroups of GL_n(R)'s) as SL_n^U(R/I)-representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-02T16:26:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20J06",
      "11F75",
      "18A25"
    ],
    "keywords": [
      "congruence subgroups",
      "central stability ranges",
      "mapping class groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}