On the coarse classification of tight contact structures
Geometric Topology
2007-05-23 v1 Differential Geometry
Symplectic Geometry
Abstract
We present a sketch of the proof of the following theorems: (1) Every 3-manifold has only finitely many homotopy classes of 2-plane fields which carry tight contact structures. (2) Every closed atoroidal 3-manifold carries finitely many isotopy classes of tight contact structures.
Keywords
Cite
@article{arxiv.math/0305186,
title = {On the coarse classification of tight contact structures},
author = {Vincent Colin and Emmanuel Giroux and Ko Honda},
journal= {arXiv preprint arXiv:math/0305186},
year = {2007}
}
Comments
12 pages, to appear in the 2001 Georgia International Topology Conference proceedings