A Note on Overtwisted Contact Structures
arXiv:0712.4379
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.
4 pages, 1 figure