A Note on Overtwisted Contact Structures

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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

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Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/144996

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.4379
 http://arxiv.org/abs/0712.4379

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arXiv