Celebratio Mathematica — Gordon — Complete Bibliography

Complete Bibliography

Works connected to Liam Watson

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S. Boyer, C. M. Gordon, and L. Watson: “On L-spaces and left-orderable fundamental groups,” Math. Ann. 356 : 4 (2013), pp. 1213–1245. MR 3072799 Zbl 1279.57008 ArXiv 1107.5016 article

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 the twofold branched covers of non-split alternating links. To do this we prove that the fundamental group of the twofold branched cover of an alternating link is left-orderable if and only if it is a trivial link with two or more components. We also show that this places strong restrictions on the representations of the fundamental group of an alternating knot complement with values in \( \operatorname{Homeo_+}(S^1) \).

Liam Watson	Related
Steven Patrick Boyer	Related