{
  "id": "2401.06600",
  "version": "v1",
  "published": "2024-01-12T14:30:39.000Z",
  "updated": "2024-01-12T14:30:39.000Z",
  "title": "Invariants of surfaces in smooth 4-manifolds from link homology",
  "authors": [
    "Scott Morrison",
    "Kevin Walker",
    "Paul Wedrich"
  ],
  "comment": "22 pages, comments welcome",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We construct analogs of Khovanov-Jacobsson classes and the Rasmussen invariant for links in the boundary of any smooth oriented 4-manifold. The main tools are skein lasagna modules based on equivariant and deformed versions of $\\mathfrak{gl}_N$ link homology, for which we prove non-vanishing and decomposition results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-12T14:30:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "link homology",
      "skein lasagna modules",
      "rasmussen invariant",
      "khovanov-jacobsson classes",
      "construct analogs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}