{
  "id": "2101.11493",
  "version": "v1",
  "published": "2021-01-27T15:41:33.000Z",
  "updated": "2021-01-27T15:41:33.000Z",
  "title": "Homology of relative trisection and its application",
  "authors": [
    "Hokuto Tanimoto"
  ],
  "comment": "17 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Feller, Klug, Schirmer and Zemke showed the homology and the intersection form of a closed trisected 4-manifold are described in terms of trisection diagram. In this paper, it is confirmed that we are able to calculate those of a trisected 4-manifold with boundary in a similar way. Moreover, we describe a representative of the second Stiefel-Whitney class by the relative trisection diagram.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-27T15:41:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K40",
      "57R65",
      "57R15"
    ],
    "keywords": [
      "application",
      "second stiefel-whitney class",
      "relative trisection diagram",
      "intersection form",
      "similar way"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}