Genus one open books with non-left-orderable fundamental group

Details Genus one open books with non-left-orderable fundamental group Genus one open books with non-left-orderable fundamental group

2011-09-22

arxiv.org/abs/1109.4870v1

Mathematics

Geometric Topology

10 pages, 3 figures

Scientific paper

Let $Y$ be a closed, connected, orientable three-manifold admitting a genus
one open book decomposition with one boundary component. We prove that if $Y$
is an L-space, then the fundamental group of $Y$ is not left-orderable. This
answers a question posed by John Baldwin.

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