{
  "abstract": "A well-known conjecture of Toda's asserts that the BPS invariants associated to a Calabi--Yau threefold are independent of the chosen Euler characteristic. We answer the question in the affirmative for a certain class of local surfaces, which we call warped local curves. Along the way we show that the moduli stack of sheaves on a warped local curve can be written as the global critical locus of a function. We also show that the moduli stack of sheaves on a curve fibration over $\\mathbb{A}^1$ is the global critical locus of a function.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20212",
  "author_total": 1,
  "authors": [
    {
      "name": "Ana Pavlaković"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5hq1sma0v7m76.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20212",
  "fulltext_url": null,
  "id": "5hq1sma0v7m76",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20212",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7221988346",
  "pdf_url": "https://arxiv.org/pdf/2610.20212",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5hq1sma0v7m76.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.20212",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20212"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "$χ$-Independence for BPS Invariants of Warped Local Curves",
  "title_text": "χ-Independence for BPS Invariants of Warped Local Curves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/5hq1sma0v7m76",
  "venue": "arXiv",
  "versions": []
}