{
  "id": "2308.00482",
  "version": "v1",
  "published": "2023-08-01T12:07:54.000Z",
  "updated": "2023-08-01T12:07:54.000Z",
  "title": "Exotic 4-manifolds with small trisection genus",
  "authors": [
    "Natsuya Takahashi"
  ],
  "comment": "15 pages, 21 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that there exists an exotic pair of $4$-manifolds with boundary whose trisection genera are $4$. We also construct genus-$3$ relative trisections for the infinite family $\\{W^\\pm(l,k)\\}_{l,k\\in\\mathbb{Z}}$ of contractible $4$-manifolds introduced by Akbulut and Kirby.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-01T12:07:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K40",
      "57R55",
      "57R65"
    ],
    "keywords": [
      "small trisection genus",
      "exotic pair",
      "trisection genera",
      "relative trisections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}