{
  "id": "2502.00912",
  "version": "v1",
  "published": "2025-02-02T20:47:37.000Z",
  "updated": "2025-02-02T20:47:37.000Z",
  "title": "Basis for KBSM of fibered torus with multiplicity two exceptional fiber",
  "authors": [
    "Mieczyslaw K. Dabkowski",
    "Cheyu Wu"
  ],
  "comment": "30 pages, 37 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct a family of bases for the Kauffman bracket skein module (KBSM) of the product of an annulus and a circle. Using these bases, we find a new basis for the KBSM of $(\\beta,2)$-fibered torus as a first step toward developing techniques for computing KBSM of a family of small Seifert fibered $3$-manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-02T20:47:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K31",
      "57K10"
    ],
    "keywords": [
      "fibered torus",
      "exceptional fiber",
      "multiplicity",
      "kauffman bracket skein module",
      "first step"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}