{
  "id": "0905.1499",
  "version": "v2",
  "published": "2009-05-10T19:41:28.000Z",
  "updated": "2009-06-12T16:09:51.000Z",
  "title": "A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus",
  "authors": [
    "Tao Li",
    "Ruifeng Qiu",
    "Shicheng Wang"
  ],
  "comment": "11 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $M$ be an orientable 3-manifold with $\\partial M$ a single torus. We show that the number of boundary slopes of immersed essential surfaces with genus at most $g$ is bounded by a quadratic function of $g$. In the hyperbolic case, this was proved earlier by Hass, Rubinstein and Wang.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-12T16:09:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57N10"
    ],
    "keywords": [
      "boundary slopes",
      "quadratic bound",
      "bounded genus",
      "hyperbolic case",
      "single torus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.1499L"
    }
  }
}