{
  "id": "2411.09923",
  "version": "v1",
  "published": "2024-11-15T03:45:11.000Z",
  "updated": "2024-11-15T03:45:11.000Z",
  "title": "$\\mathfrak{gl}(1 \\vert 1)$-Alexander polynomial for $3$-manifolds, Reidemeister torsion and lens spaces",
  "authors": [
    "Yuanyuan Bao"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this note, we reformulate the invariant $\\Delta (M, \\omega)$ that we defined before, and show its relation with Reidemeister torsion. We calculate $\\Delta (M, \\omega)$ when the $3$-manifolds are lens spaces, and discuss the classification of the lens spaces using $\\Delta (M, \\omega)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-15T03:45:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10",
      "57K16",
      "57K31"
    ],
    "keywords": [
      "lens spaces",
      "reidemeister torsion",
      "alexander polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}