Tight contact structures on 3-manifolds via dynamics
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
We consider the problem of realizing tight contact structures on closed orientable three-manifolds. By applying the theorems of Hofer et al., one may deduce tightness from dynamical properties of (Reeb) flows transverse to the contact structure. We detail how two classical constructions, Dehn surgery and branched covering, may be performed on dynamically-constrained links in such a way as to preserve a transverse tight contact structure.
Keywords
Cite
@article{arxiv.math/9812061,
title = {Tight contact structures on 3-manifolds via dynamics},
author = {John Etnyre and Robert Ghrist},
journal= {arXiv preprint arXiv:math/9812061},
year = {2007}
}