{
  "id": "2103.15262",
  "version": "v1",
  "published": "2021-03-29T01:31:22.000Z",
  "updated": "2021-03-29T01:31:22.000Z",
  "title": "Divides with cusps and Kirby diagrams for line arrangements",
  "authors": [
    "Sakumi Sugawara",
    "Masahiko Yoshinaga"
  ],
  "comment": "18 pages, 26 figures",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "The complement of a complexified real line arrangement is an affine surface. It is classically known that such a space has a handle decomposition up to $2$-handles. We will describe the handle decomposition induced from Lefschetz hyperplane section theorem for such a space. To describe the Kirby diagram, we introduce the notion of the divide with cusps which is a generalization of the divide introduced by A'Campo.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-29T01:31:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S50",
      "32Q55",
      "52C35"
    ],
    "keywords": [
      "kirby diagram",
      "lefschetz hyperplane section theorem",
      "handle decomposition",
      "complexified real line arrangement",
      "affine surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}