{
  "id": "2107.08851",
  "version": "v1",
  "published": "2021-07-19T13:06:23.000Z",
  "updated": "2021-07-19T13:06:23.000Z",
  "title": "Cellular chain complexes of universal covers of some 3-manifolds",
  "authors": [
    "Takefumi Nosaka"
  ],
  "comment": "14 pages. Comments are welcome",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "For a closed 3-manifold $M$ in a certain class, we give a presentation of the cellular chain complex of the universal cover of $M$. The class includes all surface bundles, some surgeries of knots in $S^3$, some cyclic branched cover of $S^3$, and some Seifert manifolds. In application, we establish a formula for calculating the linking form of a cyclic branched cover of $S^3$, and develop procedures of computing some Dijkgraaf-Witten invariants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-19T13:06:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cellular chain complex",
      "universal cover",
      "cyclic branched cover",
      "surface bundles",
      "seifert manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}