# On L-spaces and left-orderable fundamental groups

@article{Boyer2011OnLA,
title={On L-spaces and left-orderable fundamental groups},
author={Steven D. Boyer and Cameron McA. Gordon and Liam Watson},
journal={Mathematische Annalen},
year={2011},
volume={356},
pages={1213-1245}
}
• Published 25 July 2011
• Mathematics
• Mathematische Annalen
Examples suggest that there is a correspondence between L-spaces and three-manifolds whose fundamental groups cannot be left-ordered. In this paper we establish the equivalence of these conditions for several large classes of manifolds. In particular, we prove that they are equivalent for any closed, connected, orientable, geometric three-manifold that is non-hyperbolic, a family which includes all closed, connected, orientable Seifert fibred spaces. We also show that they are equivalent for…
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