{
  "id": "2212.14673",
  "version": "v1",
  "published": "2022-12-30T13:07:03.000Z",
  "updated": "2022-12-30T13:07:03.000Z",
  "title": "Rational homology disk smoothings and Lefschetz fibrations",
  "authors": [
    "Hakho Choi"
  ],
  "comment": "25 pages, 39 Figures, To appear in J. Korean Math. Soc",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "In this article, we generalize the results discussed in [arXiv:1004.3762] by introducing a genus to generic fibers of Lefschetz fibrations. That is, we give families of relations in the mapping class groups of genus-1 surfaces with boundaries that represent rational homology disk smoothings of weighted homogeneous surface singularities whose resolution graphs are $3$-legged with a bad central vertex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-30T13:07:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lefschetz fibrations",
      "represent rational homology disk smoothings",
      "bad central vertex",
      "generic fibers",
      "weighted homogeneous surface singularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}