{
  "id": "1702.07313",
  "version": "v1",
  "published": "2017-02-23T17:57:14.000Z",
  "updated": "2017-02-23T17:57:14.000Z",
  "title": "Minimal length maximal green sequences",
  "authors": [
    "Alexander Garver",
    "Thomas McConville",
    "Khrystyna Serhiyenko"
  ],
  "comment": "43 pages, many figures, comments welcome",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "Maximal green sequences are important objects in representation theory, cluster algebras, and string theory. It is an open problem to determine what lengths are achieved by the maximal green sequences of a quiver. We combine the combinatorics of surface triangulations and the basics of scattering diagrams to address this problem. Our main result is a formula for the length of minimal length maximal green sequences of quivers defined by triangulations of an annulus or a punctured disk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-23T17:57:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E99",
      "05E10",
      "16G20",
      "13F60"
    ],
    "keywords": [
      "minimal length maximal green sequences",
      "main result",
      "important objects",
      "surface triangulations",
      "representation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}