{
  "id": "1908.04397",
  "version": "v1",
  "published": "2019-08-12T21:23:02.000Z",
  "updated": "2019-08-12T21:23:02.000Z",
  "title": "Cabling in terms of immersed curves",
  "authors": [
    "Jonathan Hanselman",
    "Liam Watson"
  ],
  "comment": "18 pages, mostly figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In joint work with J. Rasmussen, we gave an interpretation of Heegaard Floer homology for manifolds with torus boundary in terms of immersed curves in a punctured torus. In particular, knot Floer homology is captured by this invariant. Appealing to earlier work of the authors on bordered Floer homology, we give a formula for the behaviour of these immersed curves under cabling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-12T21:23:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "immersed curves",
      "heegaard floer homology",
      "knot floer homology",
      "torus boundary",
      "joint work"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}