{
  "id": "2302.07965",
  "version": "v1",
  "published": "2023-02-15T22:06:31.000Z",
  "updated": "2023-02-15T22:06:31.000Z",
  "title": "A property of $γ$ curves derived from topology of relative trisected 4-manifolds",
  "authors": [
    "Hokuto Tanimoto"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "Any two $(g; 0, 0, k)$-trisected closed 4-manifolds are related to each other by cutting and regluing in regard to $\\gamma$ curves by an element of the Torelli group. Moreover, Lambert-Cole showed that this element can be replaced by an element of the Johnson kernel. We consider similar situation in the relative case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-15T22:06:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "torelli group",
      "johnson kernel",
      "similar situation",
      "relative case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}