{
  "id": "2211.16279",
  "version": "v1",
  "published": "2022-11-29T15:09:49.000Z",
  "updated": "2022-11-29T15:09:49.000Z",
  "title": "A Reciprocity Formula on Multicurves",
  "authors": [
    "Juhan Kim"
  ],
  "comment": "7 pages, 5 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "Given a specific collection of curves on an oriented surface with punctures, we associate a power series by counting its intersections with multicurves. This paper presents a reciprocity formula on the power series when multicurves with no component contractible to a puncture are concerned, as a generalization of the reciprocity presented in arXiv:1612.02518.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-29T15:09:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reciprocity formula",
      "multicurves",
      "power series",
      "specific collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}