{
  "abstract": "We prove that contact $(+1)$-surgery along a Legendrian $n$-sphere $Λ\\subset(\\mathbb{S}^{2n+1},ξ_{\\mathrm{std}})$ with \\[ \\mathrm{tb}(Λ)\\ne (-1)^{\\frac{n(n-1)}{2}+1} \\] has vanishing contact homology. In dimension three, this produces new examples of tight algebraically overtwisted contact manifolds, vastly extending the authors' previous results: If a Legendrian knot in $(\\mathbb{S}^3,ξ_{\\mathrm{std}})$ admits an exact, oriented Lagrangian filling that is not a disk, then contact $(+1/k)$-surgery on it is algebraically overtwisted and tight for every positive integer $k$. Our proofs use versions of symplectic cohomology and wrapped Floer cohomology defined by augmentations of a chain-level contact homology algebra.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19333",
  "author_total": 3,
  "authors": [
    {
      "name": "Russell Avdek"
    },
    {
      "name": "Youlin Li"
    },
    {
      "name": "Zhengyi Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6k40n4mzvrvpj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19333",
  "fulltext_url": null,
  "id": "6k40n4mzvrvpj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19333",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GT"
    ],
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7221970290",
  "pdf_url": "https://arxiv.org/pdf/2610.19333",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6k40n4mzvrvpj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.19333",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19333"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Algebraic overtwistedness of contact $(+1)$-surgeries via augmented Floer theories",
  "title_text": "Algebraic overtwistedness of contact (+1)-surgeries via augmented Floer theories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/6k40n4mzvrvpj",
  "venue": "arXiv",
  "versions": []
}