Graph Manifolds Z-homology 3-spheres and Taut Foliations
نویسنده
چکیده
We show that a graph manifold which is a Z-homology 3-sphere not homeomorphic to either S or Σ(2, 3, 5) admits a horizontal foliation. This combines with known results to show that the conditions of not being an L-space, of having a left-orderable fundamental group, and of admitting a co-oriented taut foliation, are equivalent for graph manifold Z-homology 3-spheres.
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تاریخ انتشار 2013