Tightness is preserved by Legendrian surgery
Geometric Topology
2014-12-04 v4 Symplectic Geometry
Abstract
This paper describes a characterization of tightness of closed contact 3-manifolds in terms of supporting open book decompositions. The main result is that tightness of a closed contact 3-manifold is preserved under Legendrian surgery.
Cite
@article{arxiv.1404.1705,
title = {Tightness is preserved by Legendrian surgery},
author = {Andy Wand},
journal= {arXiv preprint arXiv:1404.1705},
year = {2014}
}
Comments
version accepted by Annals of Mathematics