{
  "id": "1901.10033",
  "version": "v1",
  "published": "2019-01-28T23:21:22.000Z",
  "updated": "2019-01-28T23:21:22.000Z",
  "title": "Minimal genus four manifolds",
  "authors": [
    "Román Aranda"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In 2018, M. Chu and S. Tillmann gave a lower bound for the trisection genus of a closed 4-manifold in terms of the Euler characteristic of $M$ and the rank of its fundamental group. We show that given a group $G$, there exist a 4-manifold $M$ with fundamental group $G$ with trisection genus achieving Chu-Tillmann's lower bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-28T23:21:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N13"
    ],
    "keywords": [
      "minimal genus",
      "trisection genus achieving chu-tillmanns lower",
      "fundamental group",
      "genus achieving chu-tillmanns lower bound",
      "euler characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}