Bott-integrability of overtwisted contact structures

Revista Matemática Iberoamericana 2026 Open access

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Authors: Hansjörg Geiges, Jakob Hedicke, Murat Sağlam
DOI: 10.4171/rmi/1623
Cited by: 0

Abstract

We show that an overtwisted contact structure on a closed and oriented 3 -manifold can be defined by a contact form having a Bott-integrable Reeb flow if and only if the Poincaré dual of its Euler class is represented by a graph link.

Fields of Study & Subjects

Adhesion Friction and Surface Interactions

Publication details

Journal / source
Revista Matemática Iberoamericana
Volume
42
Issue
4
Pages
1465–1486
Publication date
30 March 2026
Language
EN