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arXiv · 2501.05784

Bott-integrability of overtwisted contact structures

Hansjörg Geiges·Jakob Hedicke·Murat Sağlam
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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.

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Hansjörg Geiges, Jakob Hedicke, Murat Sağlam. 2025-01-10. Bott-integrability of overtwisted contact structures. https://doi.org/10.4171/rmi%2F1623

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