Planar Contact Structures with Binding Number Three
Geometric Topology
2018-03-23 v2 Symplectic Geometry
Abstract
In this article, we find the complete list of all contact structures (up to isotopy) on closed three-manifolds which are supported by an open book decomposition having planar pages with three (but not less) boundary components. We distinguish them by computing their first Chern classes and three dimensional invariants (whenever possible). Among these contact structures we also distinguish tight ones from those which are overtwisted.
Cite
@article{arxiv.0711.1774,
title = {Planar Contact Structures with Binding Number Three},
author = {Mehmet Firat Arikan},
journal= {arXiv preprint arXiv:0711.1774},
year = {2018}
}
Comments
35 pages, 19 figures, 9 tables (published version)