A Note on Overtwisted Contact Structures

Details A Note on Overtwisted Contact Structures A Note on Overtwisted Contact Structures

2007-12-28

arxiv.org/abs/0712.4379v1

Mathematics

Geometric Topology

4 pages, 1 figure

Scientific paper

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.

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