{
  "id": "2401.06737",
  "version": "v1",
  "published": "2024-01-12T18:14:30.000Z",
  "updated": "2024-01-12T18:14:30.000Z",
  "title": "Skein algebras and quantized Coulomb branches",
  "authors": [
    "Dylan G. L. Allegretti",
    "Peng Shan"
  ],
  "comment": "36 pages",
  "categories": [
    "math.RT",
    "hep-th",
    "math.GT",
    "math.QA"
  ],
  "abstract": "To a compact oriented surface of genus at most one with boundary, we associate a quantized $K$-theoretic Coulomb branch in the sense of Braverman, Finkelberg, and Nakajima. In the case where the surface is a three- or four-holed sphere or a one-holed torus, we describe a relationship between this quantized Coulomb branch and the Kauffman bracket skein algebra of the surface. We formulate a general conjecture relating these algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-12T18:14:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantized coulomb branch",
      "kauffman bracket skein algebra",
      "theoretic coulomb branch",
      "compact oriented surface",
      "general conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}