Tautly foliated 3-manifolds with no R-covered foliations

Details Tautly foliated 3-manifolds with no R-covered foliations Tautly foliated 3-manifolds with no R-covered foliations

2000-11-17

arxiv.org/abs/math/0011130v1

Mathematics

Geometric Topology

10 pages, 3 eps figures

Scientific paper

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.

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