Overtwisted open books from sobering arcs
Geometric Topology
2014-10-01 v2 Symplectic Geometry
Abstract
We study open books on three manifolds which are compatible with an overtwisted contact structure. We show that the existence of certain arcs, called sobering arcs, is a sufficient condition for an open book to be overtwisted, and is necessary up to stabilization by positive Hopf-bands. Using these techniques we prove that some open books arising as the boundary of symplectic configurations are overtwisted, answering a question of Gay in Algebr. Geom. Topol. 3 (2003) 569--586.
Keywords
Cite
@article{arxiv.math/0407420,
title = {Overtwisted open books from sobering arcs},
author = {Noah Goodman},
journal= {arXiv preprint arXiv:math/0407420},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-47.abs.html