{
  "id": "1809.08424",
  "version": "v1",
  "published": "2018-09-22T10:26:51.000Z",
  "updated": "2018-09-22T10:26:51.000Z",
  "title": "An alternative basis for the Kauffman bracket skein module of the Solid Torus via braids",
  "authors": [
    "Ioannis Diamantis"
  ],
  "comment": "14 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we give an alternative basis, $\\mathcal{B}_{\\rm ST}$, for the Kauffman bracket skein module of the solid torus, ${\\rm KBSM}\\left({\\rm ST}\\right)$. The basis $\\mathcal{B}_{\\rm ST}$ is obtained with the use of the Tempereley--Lieb algebra of type B and it is appropriate for computing the Kauffman bracket skein module of the lens spaces $L(p, q)$ via braids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-22T10:26:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25",
      "20F36",
      "20F38",
      "20C08"
    ],
    "keywords": [
      "kauffman bracket skein module",
      "solid torus",
      "alternative basis",
      "tempereley-lieb algebra",
      "lens spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}