{
  "id": "2008.07410",
  "version": "v1",
  "published": "2020-08-17T15:31:58.000Z",
  "updated": "2020-08-17T15:31:58.000Z",
  "title": "A scanning algorithm for odd Khovanov homology",
  "authors": [
    "Dirk Schuetz"
  ],
  "comment": "27 pages, 10 figures. For program file, see https://www.maths.dur.ac.uk/~dma0ds/KnotJob.zip",
  "categories": [
    "math.GT"
  ],
  "abstract": "We adapt Bar-Natan's scanning algorithm for fast computations in (even) Khovanov homology to odd Khovanov homology. We use a mapping cone construction instead of a tensor product, which allows us to deal efficiently with the more complicated sign assignments in the odd theory. The algorithm has been implemented in a computer program. We also use the algorithm to determine the odd Khovanov homology of 3-strand torus links.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-17T15:31:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K18",
      "57K10"
    ],
    "keywords": [
      "odd khovanov homology",
      "adapt bar-natans scanning algorithm",
      "fast computations",
      "mapping cone construction",
      "torus links"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}