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arXiv · 1903.11866

5-dimensional Bourgeois contact structures are tight

Jonathan Bowden·Fabio Gironella·Agustin Moreno
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Abstract

Given a contact structure on a manifold $V$ together with a supporting open book decomposition, Bourgeois gave an explicit construction for a contact structure on $V \times \mathbb{T}^2$. We prove that all such structures are universally tight in dimension $5$, independent on whether the original contact manifold is tight or overtwisted.

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Jonathan Bowden, Fabio Gironella, Agustin Moreno. 2019-03-28. 5-dimensional Bourgeois contact structures are tight. https://arxiv.org/abs/1903.11866

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