Genus one open books with non-left-orderable fundamental group
Geometric Topology
2011-09-23 v1
Abstract
Let be a closed, connected, orientable three-manifold admitting a genus one open book decomposition with one boundary component. We prove that if is an L-space, then the fundamental group of is not left-orderable. This answers a question posed by John Baldwin.
Keywords
Cite
@article{arxiv.1109.4870,
title = {Genus one open books with non-left-orderable fundamental group},
author = {Yu Li and Liam Watson},
journal= {arXiv preprint arXiv:1109.4870},
year = {2011}
}
Comments
10 pages, 3 figures