{
  "abstract": "Let $Σ_g$ be a closed oriented surface of genus $g\\geq2$, and let $\\mathscr F_g$ be its split-closed, strictly unobstructed, two-periodic Fukaya category over the complex Novikov field $Λ$. We determine the derived Picard group \\[ \\operatorname{DPic}_Λ(\\mathscr F_g) \\cong \\bigl(H^1(Σ_g;Λ^\\times) \\rtimesπ_0\\operatorname{Diff}^+(Σ_g)\\bigr) \\times\\mathbb Z/2\\mathbb Z. \\] This proves the enhanced form of the conjecture of arXiv:2006.09689. As a corollary, we obtain that the derived Picard group itself determines the genus of the surface.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37403",
  "author_total": 2,
  "authors": [
    {
      "name": "Dongjian Wu"
    },
    {
      "name": "Nantao Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bhqtea090bfae.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37403",
  "fulltext_url": null,
  "id": "bhqtea090bfae",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37403",
  "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.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7214977279",
  "pdf_url": "https://arxiv.org/pdf/2609.37403",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bhqtea090bfae.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.37403",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37403"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The derived Picard group of Fukaya categories of closed surfaces",
  "title_text": "The derived Picard group of Fukaya categories of closed surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/bhqtea090bfae",
  "venue": "arXiv",
  "versions": []
}