{
  "id": "2007.11160",
  "version": "v1",
  "published": "2020-07-22T02:07:45.000Z",
  "updated": "2020-07-22T02:07:45.000Z",
  "title": "Presentations of the Roger-Yang generalized skein algebra",
  "authors": [
    "Farhan Azad",
    "Zixi Chen",
    "Matt Dreyer",
    "Ryan Horowitz",
    "Han-Bom Moon"
  ],
  "comment": "17 pages, comments welcome",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We describe presentations of the Roger-Yang generalized skein algebras for punctured spheres with an arbitrary number of punctures. This skein algebra is a quantization of the decorated Teichmuller space and generalizes the construction of the Kauffman bracket skein algebra. In this paper, we also obtain a new interpretation of the homogeneous coordinate ring of the Grassmannian of planes in terms of skein theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-22T02:07:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "32G15",
      "57M50"
    ],
    "keywords": [
      "roger-yang generalized skein algebra",
      "presentations",
      "kauffman bracket skein algebra",
      "arbitrary number",
      "skein theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}