{
  "id": "2112.09110",
  "version": "v2",
  "published": "2021-12-16T18:47:01.000Z",
  "updated": "2022-02-22T21:33:38.000Z",
  "title": "Split link detection for sl(P) link homology in characteristic P",
  "authors": [
    "Joshua Wang"
  ],
  "comment": "17 pages, 3 figures, added comments on systems of orientations in section 2",
  "categories": [
    "math.GT"
  ],
  "abstract": "If $P$ is a prime number, we show that reduced $\\mathfrak{sl}(P)$ link homology with coefficients in $\\mathbf{Z}/P$ detects split links. The argument uses Dowlin's spectral sequence and sutured Floer homology with twisted coefficients. When $P = 2$, we recover Lipshitz-Sarkar's split link detection result for Khovanov homology with $\\mathbf{Z}/2$ coefficients.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-02-22T21:33:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "link homology",
      "lipshitz-sarkars split link detection result",
      "characteristic",
      "coefficients",
      "detects split links"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}