{
  "id": "1310.4521",
  "version": "v2",
  "published": "2013-10-16T21:24:46.000Z",
  "updated": "2014-10-13T14:46:22.000Z",
  "title": "Enveloping operads and bicoloured noncrossing configurations",
  "authors": [
    "Frédéric Chapoton",
    "Samuele Giraudo"
  ],
  "comment": "27 pages",
  "journal": "Experimental Mathematics, 23, Issue 3, 332--349, 2014",
  "doi": "10.1080/10586458.2014.910850",
  "categories": [
    "math.CO",
    "math.QA"
  ],
  "abstract": "An operad structure on certain bicoloured noncrossing configurations in regular polygons is studied. Motivated by this study, a general functorial construction of enveloping operad, with input a coloured operad and output an operad, is presented. The operad of noncrossing configurations is shown to be the enveloping operad of a coloured operad of bubbles. Several suboperads are also investigated, and described by generators and relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-16T21:24:46.000Z",
      "comment": "26 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-13T14:46:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bicoloured noncrossing configurations",
      "enveloping operad",
      "coloured operad",
      "general functorial construction",
      "regular polygons"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.4521C"
    }
  }
}