English

Exotic tight contact structures on $\mathbb{R}^n$

Symplectic Geometry 2025-06-12 v4

Abstract

We introduce a variant of contact homology for convex open contact manifolds. As an application, we prove the existence of (in fact, infinitely many) exotic tight contact structures on R2n1\mathbb{R}^{2n-1} for all n>2n>2.

Keywords

Cite

@article{arxiv.2111.07590,
  title  = {Exotic tight contact structures on $\mathbb{R}^n$},
  author = {François-Simon Fauteux-Chapleau and Joseph Helfer},
  journal= {arXiv preprint arXiv:2111.07590},
  year   = {2025}
}

Comments

Updated to published version

R2 v1 2026-06-24T07:38:24.125Z