Work

Bott-integrable contact forms with large systolic ratio

Year: 2026

Type: preprint

Abstract: We show that there is no universal upper bound for the systolic ratio of Bott-integrable contact forms on closed 3-manifolds, thus providing further evidence for the relative flexibility of integrable contact forms. For the proof, we study piecewise linear approximations of Lutz forms and establish integrability of a `plug' constructed by Abbondandolo, Bramham, Hryniewicz and Salomão for pushing up the systolic ratio.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.19237

Authors: Geiges, Hansjörg, Hedicke, Jakob, Sağlam, Murat

Institutions: University of Cologne, Radboud University Nijmegen

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

OpenAlex ID: W7155212753

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