# 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} }

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…

## 158 Citations

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