On the Classification of Planar Contact Structures
Geometric Topology
2018-03-23 v2 Symplectic Geometry
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.
Cite
@article{arxiv.1008.1102,
title = {On the Classification of Planar Contact Structures},
author = {M. Firat Arikan and Selahi Durusoy},
journal= {arXiv preprint arXiv:1008.1102},
year = {2018}
}
Comments
10 pages, 10 figures