{
  "id": "cond-mat/0110035",
  "version": "v3",
  "published": "2001-10-01T17:09:08.000Z",
  "updated": "2002-02-18T21:34:32.000Z",
  "title": "Close-packed dimers on nonorientable surfaces",
  "authors": [
    "Wentao T. Lu",
    "F. Y. Wu"
  ],
  "comment": "13 pages, 1 figure, typo corrected to the version published in Phys. Lett. A 293, 235 (2002)",
  "journal": "Phys. Lett. A 293, 235-246 (2002)",
  "doi": "10.1016/S0375-9601(02)00019-1",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "The problem of enumerating dimers on an M x N net embedded on non-orientable surfaces is considered. We solve both the Moebius strip and Klein bottle problems for all M and N with the aid of imaginary dimer weights. The use of imaginary weights simplifies the analysis, and as a result we obtain new compact solutions in the form of double products. The compact expressions also permit us to establish a general reciprocity theorem.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-02-18T21:34:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonorientable surfaces",
      "close-packed dimers",
      "general reciprocity theorem",
      "klein bottle problems",
      "imaginary weights simplifies"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}