{
  "abstract": "We solve the three-dimensional symplectization question for several examples. These include small Seifert fibered $L$-spaces, a family of Whitehead-link surgery $L$-spaces, $S^1\\times S^2$, certain surgeries on the figure-eight knot, explicit families of Brieskorn spheres, and arbitrary finite connected sums mixing these manifolds. In particular, the result covers the Weeks manifold and infinitely many hyperbolic $L$-spaces. The main symplectic step is to construct Liouville cobordisms in both directions from a symplectomorphism of symplectizations. The resulting preservation of strong fillability and of the vanishing of the monopole Floer contact invariant, together with the comparison with the Heegaard Floer contact invariant, connected-sum formulas, and classification results for tight contact structures, proves the stated rigidity results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29534",
  "author_total": 1,
  "authors": [
    {
      "name": "Nobuo Iida"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/159ejct9dgqm8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29534",
  "fulltext_url": null,
  "id": "159ejct9dgqm8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29534",
  "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.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7214328962",
  "pdf_url": "https://arxiv.org/pdf/2609.29534",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/159ejct9dgqm8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.29534",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29534"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The three-dimensional symplectization question for small Seifert L-spaces and further classes",
  "title_text": "The three-dimensional symplectization question for small Seifert L-spaces and further classes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/159ejct9dgqm8",
  "venue": "arXiv",
  "versions": []
}