{
  "abstract": "We introduce the notion of a Penner-type class of an exact symplectomorphism on a Liouville domain with an $A_k$-configuration of Lagrangian spheres for $k\\geqslant 2$, and prove that such a class has positive Floer-theoretic entropy. As a corollary, we construct infinitely many smoothly trivial symplectic isotopy classes of exact symplectomorphisms with positive Floer-theoretic entropy on any $4n$-dimensional Liouville domain that admits an $A_2$-configuration of Lagrangian spheres. We also prove that the Floer-theoretic entropy of an exact symplectomorphism on a Liouville domain provides a lower bound for its topological entropy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.21780",
  "author_total": 2,
  "authors": [
    {
      "name": "Joontae Kim"
    },
    {
      "name": "Myeonggi Kwon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7bn2xb4c8m3vb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.21780",
  "fulltext_url": null,
  "id": "7bn2xb4c8m3vb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.21780",
  "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.DS"
    ],
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7204191873",
  "pdf_url": "https://arxiv.org/pdf/2608.21780",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7bn2xb4c8m3vb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.21780",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.21780"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Floer-theoretic entropy of exact symplectomorphisms",
  "title_text": "Floer-theoretic entropy of exact symplectomorphisms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/7bn2xb4c8m3vb",
  "venue": "arXiv",
  "versions": []
}