{
  "abstract": "Let $Y$ be a smooth cubic 3-fold. We show that $S^2 \\times Y$ admits an infinite sequence of cohomologous symplectic forms which are all deformation equivalent but pairwise non-isotopic; McDuff showed the corresponding result on $(S^2)^2 \\times T^2$, but these appear to be the first simply-connected and monotone examples. The results are obtained from McDuff's bordism-flavoured Gromov--Witten invariant, re-interpreted cohomologically in terms of an evaluation map valued in the space of maps from the 2-sphere to a symplectic target. The application then relies on classical properties of the Fano space of lines on $Y$. We also discuss higher-dimensional generalisations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05324",
  "author_total": 2,
  "authors": [
    {
      "name": "Ivan Smith"
    },
    {
      "name": "Abigail Ward"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8sqrd92fvd4t6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05324",
  "fulltext_url": null,
  "id": "8sqrd92fvd4t6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05324",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05324",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8sqrd92fvd4t6.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.05324",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05324"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Mapping-space Gromov--Witten classes and the Fano variety of lines",
  "title_text": "Mapping-space Gromov--Witten classes and the Fano variety of lines",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:38Z",
  "url": "https://research.draconitic.com/paper/8sqrd92fvd4t6",
  "venue": "arXiv",
  "versions": []
}