A Note on Overtwisted Contact Structures
Geometric Topology
2007-12-31 v1
Abstract
In this note, we use the recent work of Honda-Kazez-Matic [HKM] to prove that a closed contact 3-manifold admitting a compatible open book decomposition with a nontrivial monodromy which can be presented as a product of left handed Dehn twists is overtwisted.
Keywords
Cite
@article{arxiv.0712.4379,
title = {A Note on Overtwisted Contact Structures},
author = {Elif Yilmaz},
journal= {arXiv preprint arXiv:0712.4379},
year = {2007}
}
Comments
4 pages, 1 figure