Bott-integrability of overtwisted contact structures
Symplectic Geometry
2026-03-31 v2 Dynamical Systems
Abstract
We show that an overtwisted contact structure on a closed, oriented 3-manifold can be defined by a contact form having a Bott-integrable Reeb flow if and only if the Poincar\'e dual of its Euler class is represented by a graph link.
Cite
@article{arxiv.2501.05784,
title = {Bott-integrability of overtwisted contact structures},
author = {Hansjörg Geiges and Jakob Hedicke and Murat Sağlam},
journal= {arXiv preprint arXiv:2501.05784},
year = {2026}
}
Comments
19 pages, 1 figure; v2: added Remark 1.3 and some references