Graph manifolds Z-homology 3-spheres and taut foliations
Geometric Topology
2015-06-12 v1
Abstract
We show that a graph manifold which is a Z-homology 3-sphere not homeomorphic to either the 3-sphere or the Poincar\'e homology 3-sphere 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.
Keywords
Cite
@article{arxiv.1303.5264,
title = {Graph manifolds Z-homology 3-spheres and taut foliations},
author = {Michel Boileau and Steven Boyer},
journal= {arXiv preprint arXiv:1303.5264},
year = {2015}
}
Comments
16 pages