{
  "id": "1612.08473",
  "version": "v1",
  "published": "2016-12-27T01:54:16.000Z",
  "updated": "2016-12-27T01:54:16.000Z",
  "title": "Doodles on surfaces I: An introduction to their basic properties",
  "authors": [
    "Andrew Bartholomew",
    "Roger Fenn",
    "Naoko Kamada",
    "Seiichi Kamada"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "Doodles were introduced in [R. Fenn and P. Taylor, Introducing doodles, Topology of low-dimensional manifolds, pp. 37--43, Lecture Notes in Math., 722, Springer, Berlin, 1979] but were restricted to embedded circles in the 2-sphere. Khovanov, [M. Khovanov, Doodle groups, Trans. Amer. Math. Soc. 349 (1997), 2297--2315], extended the idea to immersed circles in the 2-sphere. In this paper we further extend the range of doodles to any closed orientable surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-27T01:54:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "basic properties",
      "introduction",
      "doodle groups",
      "low-dimensional manifolds",
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}