{
  "id": "2205.00595",
  "version": "v1",
  "published": "2022-05-02T00:49:06.000Z",
  "updated": "2022-05-02T00:49:06.000Z",
  "title": "Trisecting the 9-vertex complex projective plane",
  "authors": [
    "Richard Evan Schwartz"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "In this paper we will give a short and direct proof that Wolfgang Kuehnel's 9-vertex triangulation of the complex projective plane really is the complex projective plane. The idea of our proof is to recall the trisection of the complex projective plane into 3 bi-disks and then to see this trisection inside a symmetry-breaking subdivision of the triangulation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-02T00:49:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex projective plane",
      "direct proof",
      "trisecting",
      "wolfgang kuehnels",
      "triangulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}