{
  "id": "math/9911072",
  "version": "v1",
  "published": "1999-11-10T23:43:25.000Z",
  "updated": "1999-11-10T23:43:25.000Z",
  "title": "Boundary slopes of immersed surfaces in 3-manifolds",
  "authors": [
    "Joel Hass",
    "J. Hyam Rubinstein",
    "Shicheng Wang"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper presents some finiteness results for the number of boundary slopes of immersed essential surfaces of given genus g in a compact 3-manifold with torus boundary. In the case of hyperbolic 3-manifolds we obtain uniform quadratic bounds in g for the number of possible slopes, independent of the 3-manifold. We also look at some related quantities, such as how many times the slopes of two such surfaces of specified genus can intersect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-11-10T23:43:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "53C42"
    ],
    "keywords": [
      "boundary slopes",
      "immersed surfaces",
      "uniform quadratic bounds",
      "finiteness results",
      "torus boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....11072H"
    }
  }
}