{
  "id": "2205.05125",
  "version": "v1",
  "published": "2022-05-10T19:05:08.000Z",
  "updated": "2022-05-10T19:05:08.000Z",
  "title": "Cluster scattering diagrams of acyclic affine type",
  "authors": [
    "Nathan Reading",
    "Salvatore Stella"
  ],
  "comment": "45 pages, 2 figures",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We give an explicit construction of the cluster scattering diagram for any acyclic exchange matrix of affine type. We show that the corresponding cluster scattering fan coincides both with the mutation fan and with a fan constructed in the almost-positive roots model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-10T19:05:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cluster scattering diagram",
      "acyclic affine type",
      "corresponding cluster scattering fan coincides",
      "acyclic exchange matrix",
      "explicit construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}