Tight Contact Structures on Lens Spaces
Differential Geometry
2007-05-23 v2 Geometric Topology
Abstract
In this paper we develop a method for studying tight contact structures on lens spaces. We then derive uniqueness and non-existence statements for tight contact structures with certain (half) Euler classes on lens spaces. We also prove that any lens space admits only finitely many tight contact structures.
Cite
@article{arxiv.math/9812065,
title = {Tight Contact Structures on Lens Spaces},
author = {John Etnyre},
journal= {arXiv preprint arXiv:math/9812065},
year = {2007}
}