Logo image
Overtwisted discs in planar open books
Journal article   Peer reviewed

Overtwisted discs in planar open books

Tetsuya Ito and Keiko Kawamuro
International journal of mathematics, Vol.26(3), pp.1550027-1-1550027-29
2015
DOI: 10.1142/S0129167X15500275

View Online

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 greater than one for all the boundary components supports a tight contact structure.

Details

Metrics

Logo image