{
  "abstract": "We study exact fillings of Legendrians and contact manifolds using Floer theory of universal covers. We prove vanishing results on wrapped Floer homology of the universal cover and symplectic (co)homology with $k[π_1]$ coefficients by using lifted versions of Ritter's TQFT operations. We use these results to show that an exact Maslov zero Lagrangian filling of the standard Legendrian $Λ_{std}$ in any Liouville filling of $(S^{2n-1},ξ_{std})$ is diffeomorphic to a ball in dimension at least 5. We show that the existence of a topological simple exact filling $W$ with vanishing symplectic homology for a dynamically convex contact manifold $M^{2n-1}$ reveals information about homotopy groups of $W$ and $M.$ We also strengthen a theorem of Zhou for ADC-contact manifolds as an application of universal covers.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10078",
  "author_total": 1,
  "authors": [
    {
      "name": "Shahnaz Shamim Shahul"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ctc975mszdae.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10078",
  "fulltext_url": null,
  "id": "5ctc975mszdae",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10078",
  "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.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7220931239",
  "pdf_url": "https://arxiv.org/pdf/2610.10078",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ctc975mszdae.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.10078",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10078"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Exact fillings using universal covers in Floer theory",
  "title_text": "Exact fillings using universal covers in Floer theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/5ctc975mszdae",
  "venue": "arXiv",
  "versions": []
}