{
  "id": "0902.4277",
  "version": "v1",
  "published": "2009-02-25T01:41:21.000Z",
  "updated": "2009-02-25T01:41:21.000Z",
  "title": "Homology Groups of Symmetric Quandles and Cocycle Invariants of Links and Surface-links",
  "authors": [
    "Seiichi Kamada",
    "Kanako Oshiro"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We introduce the notion of a quandle with a good involution and its homology groups. Carter et al. defined quandle cocycle invariants for oriented links and oriented surface-links. By use of good involutions, quandle cocyle invariants can be defined for links and surface-links which are not necessarily oriented or orientable. The invariants can be used in order to estimate the minimal triple point numbers of non-orientable surface-links.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-25T01:41:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57Q45"
    ],
    "keywords": [
      "homology groups",
      "symmetric quandles",
      "surface-links",
      "minimal triple point numbers",
      "defined quandle cocycle invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.4277K"
    }
  }
}