{
  "id": "1908.04029",
  "version": "v1",
  "published": "2019-08-12T07:07:03.000Z",
  "updated": "2019-08-12T07:07:03.000Z",
  "title": "Minimal triangulations of circle bundles, circular permutations and binary Chern cocycle",
  "authors": [
    "Nikolai Mnëv"
  ],
  "comment": "20 pages",
  "categories": [
    "math.GT",
    "math.AT",
    "math.CO"
  ],
  "abstract": "We investigate a PL topology question: which circle bundles can be triangulated over a given triangulation of the base? The question got a simple answer emphasizing the role of minimal triangulations encoded by local systems of circular permutations of vertices of the base simplices. The answer is based on an experimental fact: classical Huntington transitivity axiom for cyclic orders can be expressed as the universal binary Chern cocycle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-12T07:07:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "circle bundles",
      "circular permutations",
      "minimal triangulations",
      "classical huntington transitivity axiom",
      "pl topology question"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}