{
  "abstract": "We compare relative Abelian BF torsion with the Alexander-graded Euler characteristic of knot Floer homology. A meridional annulus boundary condition identifies the normalized relative torsion with the Alexander polynomial. One exact prime-cyclotomic torsion value recovers all its coefficients under a sharp genus bound, compatibly with connected-sum gluing and branched-cover formulas. We compute interface contractions and obstructions to scalar comparisons, including the pairing defect of two-sector reduction for the degree-zero torus algebra. A six-generator dg resolution yields an equivalence of perfect-module categories preserving derived pairings and admits a classical one-dimensional BV-BFV realization. In the fixed nonresonant polynomial quantum BFV sector, over characteristic zero with $\\hbar$ inverted, both states and Weyl observables reduce to a vacuum field; a Hochschild invariant obstructs a Morita equivalence with the degree-zero torus algebra. These results do not establish a full geometric BV-BFV/Floer equivalence.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30192",
  "author_total": 1,
  "authors": [
    {
      "name": "Nima Moshayedi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3r9e75px1gg0m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30192",
  "fulltext_url": null,
  "id": "3r9e75px1gg0m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30192",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7223263891",
  "pdf_url": "https://arxiv.org/pdf/2610.30192",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3r9e75px1gg0m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.30192",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30192"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Alexander Torsion and Floer Comparisons in the BV-BFV Formalism",
  "title_text": "Alexander Torsion and Floer Comparisons in the BV-BFV Formalism",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/3r9e75px1gg0m",
  "venue": "arXiv",
  "versions": []
}