{
  "id": "1012.1844",
  "version": "v4",
  "published": "2010-12-08T20:30:03.000Z",
  "updated": "2022-08-15T21:28:09.000Z",
  "title": "The cyclotomic polynomial topologically",
  "authors": [
    "Gregg Musiker",
    "Victor Reiner"
  ],
  "comment": "18 pages. Revision fixing misstated version of Theorem 21, as pointed out by Giacomo Condro",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We interpret the coefficients of the cyclotomic polynomial in terms of simplicial homology.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-04-16T22:47:45.000Z",
      "comment": "18 pages. Final version to appear in J. Reine Angew. Math",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2022-08-15T21:28:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35",
      "11R18",
      "55U10"
    ],
    "keywords": [
      "cyclotomic polynomial",
      "simplicial homology",
      "coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.1844M"
    }
  }
}