{
  "id": "2002.09349",
  "version": "v1",
  "published": "2020-02-21T15:14:56.000Z",
  "updated": "2020-02-21T15:14:56.000Z",
  "title": "A short proof of a conjecture of Aougab-Huang",
  "authors": [
    "Jonah Gaster"
  ],
  "comment": "4 pages, 1 figure, comments welcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "In response to Sanki-Vadnere, we present a short proof of the following theorem: a pair of simple curves on a hyperbolic surface whose complementary regions are disks has length at least half the perimeter of the regular right-angled $(8g-4)$-gon.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-21T15:14:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "short proof",
      "conjecture",
      "aougab-huang",
      "simple curves",
      "hyperbolic surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}