{
  "id": "1401.7107",
  "version": "v2",
  "published": "2014-01-28T08:06:42.000Z",
  "updated": "2016-03-17T19:06:58.000Z",
  "title": "An introduction to knot Floer homology",
  "authors": [
    "Ciprian Manolescu"
  ],
  "comment": "31 pages; final version, to appear in Proceedings of the 2013 SMS summer school on Homology theories of knots and links",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "This is a survey article about knot Floer homology. We present three constructions of this invariant: the original one using holomorphic disks, a combinatorial description using grid diagrams, and a combinatorial description in terms of the cube of resolutions. We discuss the geometric information carried by knot Floer homology, and the connection to three- and four-dimensional topology via surgery formulas. We also describe some conjectural relations to Khovanov-Rozansky homology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-28T08:06:42.000Z",
      "comment": "31 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-03-17T19:06:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57R58",
      "57M25"
    ],
    "keywords": [
      "knot floer homology",
      "introduction",
      "combinatorial description",
      "survey article",
      "surgery formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1279813,
      "adsabs": "2014arXiv1401.7107M"
    }
  }
}