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arXiv · 2404.16311

Bourgeois' contact manifolds are tight

Russell Avdek·Zhengyi Zhou
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Abstract

We prove that Bourgeois' contact structures on $M \times \mathbb{T}^{2}$ determined by the supporting open books of a contact manifold $(M, \xi)$ are always tight. The proof is based on a contact homology computation leveraging holomorphic foliations and Kuranishi structures.

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Russell Avdek, Zhengyi Zhou. 2024-04-25. Bourgeois' contact manifolds are tight. https://arxiv.org/abs/2404.16311

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