{
  "id": "1107.1524",
  "version": "v2",
  "published": "2011-07-07T21:20:59.000Z",
  "updated": "2022-04-19T08:27:03.000Z",
  "title": "An Introduction to Khovanov Homology",
  "authors": [
    "Louis H. Kauffman"
  ],
  "comment": "39 pages. 19 figures. LaTeX document. arXiv admin note: text overlap with arXiv:1001.0354, arXiv:0907.3178",
  "journal": "Contemporary Mathematics, Volume 670, 2016",
  "doi": "10.1090/conm/670/13447",
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper is an introduction to Khovanov homology, starting with the Kauffman bracket state summation, emphasizing the Bar-Natan Canopoloy and tangle cobordism approach. The paper discusses a simplicial approach to Khovanov homology and a quantum model for it so that the graded Euler characteristic that produces the Jones polynomial from Khovanov homology becomes the trace of a unitary transformation on a Hilbert space associated with the Khovanov Homology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-07T21:20:59.000Z",
      "title": "Khovanov Homology",
      "abstract": "This paper is an introduction to Khovanov homology.",
      "comment": "31 pages. 11 figures. LaTeX document",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2022-04-19T08:27:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "khovanov homology"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.1524K"
    }
  }
}