{
  "abstract": "We compute all stringy invariants, encoding orbifold cohomology numbers, of (the normalization of) the identity component of $G$-character varieties of free abelian groups and of moduli spaces of $G$-Higgs bundles on abelian varieties, for all complex connected reductive groups $G$. As an application, we provide a direct proof of a topological mirror symmetry statement: the equality of the stringy invariants for Langlands dual groups. In the framework of Ginzburg--Kaledin local resolutions, we discuss the meaning of these stringy invariants, showing that symplectic resolutions of these moduli spaces can only exist in the cases of groups of Dynkin type $A$, $B$, or $C$. When such resolutions exist, the computed stringy Hodge numbers agree with the actual Hodge numbers of the resolution.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.13337",
  "author_total": 3,
  "authors": [
    {
      "name": "Carlos Florentino"
    },
    {
      "name": "Ángel González-Prieto"
    },
    {
      "name": "Alfonso Zamora"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2h0tj70e4p68k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.13337",
  "fulltext_url": null,
  "id": "2h0tj70e4p68k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.13337",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7213243198",
  "pdf_url": "https://arxiv.org/pdf/2609.13337",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2h0tj70e4p68k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2609.13337",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.13337"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Stringy invariants for abelian character varieties",
  "title_text": "Stringy invariants for abelian character varieties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/2h0tj70e4p68k",
  "venue": "arXiv",
  "versions": []
}