{
  "id": "2105.08904",
  "version": "v1",
  "published": "2021-05-19T03:35:27.000Z",
  "updated": "2021-05-19T03:35:27.000Z",
  "title": "On Torelli groups and Dehn twists of smooth 4-manifolds",
  "authors": [
    "Manuel Krannich",
    "Alexander Kupers"
  ],
  "comment": "4 pages",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "This note has two related but independent parts. Firstly, we prove a generalisation of a recent result of Gay on the smooth mapping class group of $S^4$. Secondly, we prove that the Dehn twist along the boundary sphere of a simply-connected closed smooth 4-manifold $X$ with $\\partial X\\cong S^3$ is trivial after taking connected sums with enough copies of $S^2\\times S^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-19T03:35:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K40",
      "57S05"
    ],
    "keywords": [
      "dehn twist",
      "torelli groups",
      "smooth mapping class group",
      "independent parts",
      "boundary sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}