{
  "id": "2210.14765",
  "version": "v1",
  "published": "2022-10-26T14:54:36.000Z",
  "updated": "2022-10-26T14:54:36.000Z",
  "title": "Holed cone structures on 3-manifolds",
  "authors": [
    "Ken'ichi Yoshida"
  ],
  "comment": "18 pages, 4 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We introduce holed cone structures on 3-manifolds to generalize cone structures. In the same way as a cone structure, a holed cone structure induces the holonomy representation. We consider the deformation space consisting of the holed cone structures on a 3-manifold whose holonomy representations are irreducible. This deformation space for positive cone angles is a covering space on a reasonable subspace of the character variety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-26T14:54:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57K31",
      "57K32"
    ],
    "keywords": [
      "holonomy representation",
      "holed cone structure induces",
      "positive cone angles",
      "character variety",
      "generalize cone structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}