Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds.

@article{Dunfield2019FloerHG,
  title={Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds.},
  author={N. Dunfield},
  journal={arXiv: Geometric Topology},
  year={2019}
}
  • N. Dunfield
  • Published 2019
  • Mathematics
  • arXiv: Geometric Topology
  • This paper explores the conjecture that the following are equivalent for 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 rational homology 3-spheres. New or much improved methods for studying each of these properties form the bulk of the paper… CONTINUE READING
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