{
  "id": "2505.06188",
  "version": "v1",
  "published": "2025-05-09T16:57:23.000Z",
  "updated": "2025-05-09T16:57:23.000Z",
  "title": "KBSM of lens spaces $L(p,2)$ and $L(4k,2k+1)$",
  "authors": [
    "Mieczyslaw K. Dabkowski",
    "Cheyu Wu"
  ],
  "comment": "30 pages, 20 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "J. Hoste and J. H. Przytycki computed the Kauffman bracket skein module (KBSM) of lens spaces in their papers published in 1993 and 1995. Using a basis for the KBSM of a fibered torus, we construct new bases for the KBSMs of two families of lens spaces: $L(p,2)$ and $L(4k,2k+1)$ with $k\\neq 0$. For KBSM of $L(0,1) = {\\bf S}^{2}\\times S^{1}$, we find a new generating set that yields its decomposition into a direct sum of cyclic modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-09T16:57:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K31",
      "57K10"
    ],
    "keywords": [
      "lens spaces",
      "kauffman bracket skein module",
      "direct sum",
      "cyclic modules",
      "fibered torus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}