On the Classification of Planar Contact Structures

M. Firat Arikan; Selahi Durusoy

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arXiv · 1008.1102

On the Classification of Planar Contact Structures

M. Firat Arikan·Selahi Durusoy

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Abstract

In this paper, we focus on contact structures supported by planar open book decompositions. We study right-veering diffeomorphisms to keep track of overtwistedness property of contact structures under some monodromy changes. As an application we give infinitely many examples of overtwisted contact structures supported by open books whose pages are the four-punctured sphere, and also we prove that a certain family is holomorphically fillable using lantern relation.

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M. Firat Arikan, Selahi Durusoy. 2010-08-05. On the Classification of Planar Contact Structures. https://arxiv.org/abs/1008.1102

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