English

Bourgeois' contact manifolds are tight

Symplectic Geometry 2024-04-26 v1

Abstract

We prove that Bourgeois' contact structures on M×T2M \times \mathbb{T}^{2} determined by the supporting open books of a contact manifold (M,ξ)(M, \xi) are always tight. The proof is based on a contact homology computation leveraging holomorphic foliations and Kuranishi structures.

Keywords

Cite

@article{arxiv.2404.16311,
  title  = {Bourgeois' contact manifolds are tight},
  author = {Russell Avdek and Zhengyi Zhou},
  journal= {arXiv preprint arXiv:2404.16311},
  year   = {2024}
}

Comments

33 pages. Comments welcome