{
  "abstract": "We calculate the chromatic spherical invariant $\\mathscr{K}_{\\mathrm{Rep}(H)}(L(p,q))$ of lens spaces $L(p, q)$ for arbitrary finite-dimensional unibalanced, unimodular Hopf algebras $H$. In the case of the index-2 Nichols Hopf algebra $\\mathcal{K}_2$ and $q=1$, we find that the invariant of $L(p, 1)$ depends only on the parity of $p$ for $p\\geq 1$. We also describe the duals $\\mathcal{S_I}(M)^*$ of the admissible skein modules of handlebodies $M=H_g$ and of $M=L(p, q)$ for arbitrary tensor ideals $\\mathcal{I}$ of a ribbon tensor category. In particular, $\\mathcal{S_I}(L(p, q))^*$ corresponds with cyclic traces on $\\mathcal{I}$ satisfying a property reminiscent of the modified trace condition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19355",
  "author_total": 3,
  "authors": [
    {
      "name": "Rhea Palak Bakshi"
    },
    {
      "name": "Mitchell Jubeir"
    },
    {
      "name": "Quinn T. Kolt"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/56xg4ex7gz9x0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19355",
  "fulltext_url": null,
  "id": "56xg4ex7gz9x0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19355",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CT"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7222169677",
  "pdf_url": "https://arxiv.org/pdf/2610.19355",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/56xg4ex7gz9x0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.19355",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19355"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Two non-semisimple quantum invariants of lens spaces",
  "title_text": "Two non-semisimple quantum invariants of lens spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/56xg4ex7gz9x0",
  "venue": "arXiv",
  "versions": []
}