Overtwisted discs in planar open books
arXiv:1401.3039
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.
32 pages, 26 figures. Accepted by International Journal of Mathematics