{
  "id": "1707.02010",
  "version": "v1",
  "published": "2017-07-07T00:51:10.000Z",
  "updated": "2017-07-07T00:51:10.000Z",
  "title": "The totally nonnegative Grassmannian is a ball",
  "authors": [
    "Pavel Galashin",
    "Steven N. Karp",
    "Thomas Lam"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CO",
    "hep-th",
    "math.GT"
  ],
  "abstract": "We prove that three spaces of importance in topological combinatorics are homeomorphic to closed balls: the totally nonnegative Grassmannian, the compactification of the space of electrical networks, and the cyclically symmetric amplituhedron.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-07T00:51:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E45",
      "14M15",
      "15B48",
      "52Bxx"
    ],
    "keywords": [
      "totally nonnegative grassmannian",
      "cyclically symmetric amplituhedron",
      "homeomorphic",
      "compactification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}