References & Citations
Mathematics > Symplectic Geometry
Title: Bourgeois' contact manifolds are tight
(Submitted on 25 Apr 2024)
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.
Link back to: arXiv, form interface, contact.