On overtwisted, right-veering open books
Geometric Topology
2012-01-04 v2 Symplectic Geometry
Abstract
We exhibit infinitely many overtwisted, right-veering, non-destabilizable open books, thus providing infinitely many counterexamples to a conjecture of Honda-Kazez-Matic. The page of all our open books is a four-holed sphere and the underlying 3-manifolds are lens spaces.
Keywords
Cite
@article{arxiv.1107.5268,
title = {On overtwisted, right-veering open books},
author = {Paolo Lisca},
journal= {arXiv preprint arXiv:1107.5268},
year = {2012}
}
Comments
6 pages, 4 figures. v2: minor edits, accepted for publication in the Pacific Journal of Mathematics