Floer homology, group orderability, and taut foliations of hyperbolic 3–manifolds
Floer homology, group orderability, and taut foliations of hyperbolic 3–manifolds
This paper explores the conjecture that the following are equivalent for irreducible rational homology 3-spheres: having left-orderable fundamental group, having non-minimal Heegaard Floer homology, and admitting a co-orientable taut foliation.In particular, it adds further evidence in favor of this conjecture by studying these three properties for more than 300,000 hyperbolic …