{
  "abstract": "We derive normalized geometric factors for permutation-twist correlators at arbitrary genus. For three uniformly ramified branch values, hypergeometric uniformization shows that the real part of the continued conical-defect exponent equals the covering-space anomaly factor. Its imaginary part is an Euler-characteristic Weyl phase. We extend the normalization to additional branch values, derive higher replica-index corrections to the geometric multi-entropy, and state the extra condition required for a holographic limit. A reducible conformal/topological example demonstrates why large central charge alone does not fix the complete entanglement result.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38208",
  "author_total": 1,
  "authors": [
    {
      "name": "Chen-Te Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/akh056qhgh8kc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38208",
  "fulltext_url": null,
  "id": "akh056qhgh8kc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38208",
  "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",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38208",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/akh056qhgh8kc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.38208",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38208"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Covering Surfaces, Conical-Defect Continuation, and Multi-Entropy at Arbitrary Genus",
  "title_text": "Covering Surfaces, Conical-Defect Continuation, and Multi-Entropy at Arbitrary Genus",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:44Z",
  "url": "https://research.draconitic.com/paper/akh056qhgh8kc",
  "venue": "arXiv",
  "versions": []
}