{
  "id": "1811.06432",
  "version": "v1",
  "published": "2018-11-15T15:38:21.000Z",
  "updated": "2018-11-15T15:38:21.000Z",
  "title": "A fast algorithm for calculating $s$-invariants",
  "authors": [
    "Dirk Schuetz"
  ],
  "comment": "22 pages",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "We use the divide-and-conquer and scanning algorithms for calculating Khovanov cohomology directly on the Lee- or Bar-Natan deformations of the Khovanov complex to give an alternative way to compute Rasmussen $s$-invariants of knots. By disregarding generators away from homological degree 0 we can considerably improve the efficiency of the algorithm. With a slight modification we can also apply it to a refinement of Lipshitz-Sarkar.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-15T15:38:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "fast algorithm",
      "invariants",
      "slight modification",
      "bar-natan deformations",
      "khovanov complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}