Tight and overtwisted contact structures
Symplectic Geometry
2025-04-18 v1 Geometric Topology
Abstract
The tight versus overtwisted dichotomy has been an essential organizing principle and driving force in 3-dimensional contact geometry since its inception around 1990. In this article, we will discuss the genesis of this dichotomy in Eliashberg's seminal work and his influential contributions to the theory.
Keywords
Cite
@article{arxiv.2504.13096,
title = {Tight and overtwisted contact structures},
author = {John B. Etnyre},
journal= {arXiv preprint arXiv:2504.13096},
year = {2025}
}
Comments
19 pages, 6 figures. This survey article is a part of the Celebratio Mathematica volume on the work of Yakov Eliashberg