Overtwisted discs in planar open books
Geometric Topology
2015-02-04 v3 Symplectic Geometry
Abstract
Using open book foliations we show that an overtwisted disc in a planar open book can be put in a topologically nice position. As a corollary, we prove that a planar open book whose fractional Dehn twist coefficients grater than one for all the boundary components supports a tight contact structure.
Cite
@article{arxiv.1401.3039,
title = {Overtwisted discs in planar open books},
author = {Tetsuya Ito and Keiko Kawamuro},
journal= {arXiv preprint arXiv:1401.3039},
year = {2015}
}
Comments
32 pages, 26 figures. Accepted by International Journal of Mathematics