{
  "id": "math/0311220",
  "version": "v1",
  "published": "2003-11-13T16:01:08.000Z",
  "updated": "2003-11-13T16:01:08.000Z",
  "title": "A Bijection between classes of Fully Packed Loops and Plane Partitions",
  "authors": [
    "P. Di Francesco",
    "P. Zinn-Justin",
    "J. -B. Zuber"
  ],
  "categories": [
    "math.CO",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "It has recently been observed empirically that the number of FPL configurations with 3 sets of a, b and c nested arches equals the number of plane partitions in a box of size a x b x c. In this note, this result is proved by constructing explicitly the bijection between these FPL and plane partitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-13T16:01:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "plane partitions",
      "fully packed loops",
      "fpl configurations",
      "nested arches equals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11220D"
    }
  }
}