{
  "abstract": "We prove a version of genus-0 mirror symmetry for toric Fano surfaces at the level of big quantum cohomology. The mirror Landau-Ginzburg model $(\\check{X}, W_{\\infty})$ of such a surface $X$ can be defined in terms of counts of Maslov index two tropical or holomorphic discs with bulk insertions. While these mirror LG models are not well-defined, the Jacobian ring $\\operatorname{\\mathsf{Jac}}(W_{\\infty})$ of the superpotential $W_{\\infty}$ is well-defined. We show that $\\operatorname{\\mathsf{Jac}}(W_{\\infty})$ is isomorphic over the Novikov base to the big quantum cohomology of $X$ using tropical methods, providing a purely algebraic analogue of the cobordism argument used in works of Fukaya-Oh-Ohta-Ono.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28496",
  "author_total": 1,
  "authors": [
    {
      "name": "Xuanchun Lu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fe225qe97m5ck.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28496",
  "fulltext_url": null,
  "id": "fe225qe97m5ck",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28496",
  "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"
    ],
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7214300998",
  "pdf_url": "https://arxiv.org/pdf/2609.28496",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fe225qe97m5ck.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.28496",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28496"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Bulk-deformed enumerative mirror symmetry for toric Fano surfaces",
  "title_text": "Bulk-deformed enumerative mirror symmetry for toric Fano surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/fe225qe97m5ck",
  "venue": "arXiv",
  "versions": []
}