{
  "id": "0804.4772",
  "version": "v3",
  "published": "2008-04-30T09:34:19.000Z",
  "updated": "2009-01-19T10:58:36.000Z",
  "title": "Dimers on graphs in non-orientable surfaces",
  "authors": [
    "David Cimasoni"
  ],
  "comment": "27 pages, 5 figures; minor changes in v3",
  "journal": "Lett. Math. Phys. 87 (2009), 149-179",
  "doi": "10.1007/s11005-009-0299-2",
  "categories": [
    "math-ph",
    "math.GT",
    "math.MP"
  ],
  "abstract": "The main result of this paper is a Pfaffian formula for the partition function of the dimer model on a graph G embedded in a closed, possibly non-orientable surface S. This formula is suitable for computational purposes, and it is obtained using purely geometrical methods. The key step in the proof consists of a correspondence between some orientations on G and the set of pin^- structures on S. This generalizes (and simplifies) the results of a previous paper [2].",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-01-19T10:58:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20",
      "57M15",
      "05C70"
    ],
    "keywords": [
      "computational purposes",
      "partition function",
      "dimer model",
      "main result",
      "pfaffian formula"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Letters in Mathematical Physics",
      "year": 2009,
      "month": "Feb",
      "volume": 87,
      "number": "1-2",
      "pages": 149
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009LMaPh..87..149C"
    }
  }
}