Tautly foliated 3-manifolds with no R-covered foliations
Geometric Topology
2007-05-23 v1
Abstract
A foliation of a manifold M is called R-covered if its lift to the universal cover of M has space of leaves R. We show that there are many graph manifolds which admit taut foliations, but which do not admit any R-covered foliations. On the other hand, we show that these manifolds all have finite covers admitting R-covered foliations.
Cite
@article{arxiv.math/0011130,
title = {Tautly foliated 3-manifolds with no R-covered foliations},
author = {Mark Brittenham},
journal= {arXiv preprint arXiv:math/0011130},
year = {2007}
}
Comments
10 pages, 3 eps figures