{
  "id": "2206.13640",
  "version": "v1",
  "published": "2022-06-27T21:41:55.000Z",
  "updated": "2022-06-27T21:41:55.000Z",
  "title": "The first homology group with twisted coefficients for the mapping class group of a non-orientable surface of genus three with two boundary components",
  "authors": [
    "Piotr Pawlak",
    "Michał Stukow"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We determine the first homology group with coefficients in $H_1(N;\\mathbb{Z})$ for the mapping class group of a non--orientable surface $N$ of genus three with two boundary components.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-27T21:41:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N05"
    ],
    "keywords": [
      "first homology group",
      "mapping class group",
      "boundary components",
      "non-orientable surface",
      "twisted coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}