{
  "abstract": "We prove motivic mirror symmetry for full-rank sink-recurrent cluster varieties. We allow skew-symmetrizable principal parts and invert all frozen variables. The rational geometric motive of such a variety is isomorphic to the additive orbifold motive of the mirror stack of Hu and Shende. This gives comparisons of cohomology, higher Chow groups, and algebraic $K$-theory with rational coefficients. The proof combines quantum deformation with the splitting of these motives into Tate summands. For really full-rank skew-symmetric seeds, a finite étale morphism realizes the comparison. We also study this geometric comparison in families over the projective line.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.12863",
  "author_total": 2,
  "authors": [
    {
      "name": "Haoyang Liu"
    },
    {
      "name": "Tianle Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6265et3ax6qsv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.12863",
  "fulltext_url": null,
  "id": "6265et3ax6qsv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.12863",
  "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.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.12863",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6265et3ax6qsv.ris",
  "sources": [
    {
      "first_seen": "2026-11-11T06:21:28Z",
      "native_id": "2611.12863",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.12863"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Motivic Mirror Symmetry for Sink-recurrent Cluster Varieties",
  "title_text": "Motivic Mirror Symmetry for Sink-recurrent Cluster Varieties",
  "type": "preprint",
  "updated_at": "2026-11-11T06:21:28Z",
  "url": "https://research.draconitic.com/paper/6265et3ax6qsv",
  "venue": "arXiv",
  "versions": []
}