{
  "id": "0902.3707",
  "version": "v1",
  "published": "2009-02-21T01:49:00.000Z",
  "updated": "2009-02-21T01:49:00.000Z",
  "title": "K-stable equivalence for knots in Heegaard surfaces",
  "authors": [
    "Alice Stevens"
  ],
  "comment": "18 pages, 10 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let K be a knot embedded in a Heegaard surface S for a closed orientable 3-manifold M. We define K-stable equivalence between pairs (S, K) and (S', K) in M, and we prove that any two pairs are K-stably equivalent in M if they have the same surface slope.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-21T01:49:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "heegaard surface",
      "define k-stable equivalence",
      "surface slope"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.3707S"
    }
  }
}