Bourgeois' contact manifolds are tight
Symplectic Geometry
2024-04-26 v1
Abstract
We prove that Bourgeois' contact structures on determined by the supporting open books of a contact manifold 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