Bourgeois' contact manifolds are tight
Avdek, Russell, Zhou, Zhengyi · arXiv (Cornell University) · 2024
We prove that Bourgeois' contact structures on $M \times \mathbb{T}^{2}$ determined by the supporting open books of a contact manifold $(M, ξ)$ are always tight. The proof is based on a contact homology computation leveraging holomorphic foliations and Kuranishi structures.