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arXiv:math/0011130 [math.GT]AbstractReferencesReviewsResources

Tautly foliated 3-manifolds with no R-covered foliations

Mark Brittenham

Published 2000-11-17Version 1

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.

Comments: 10 pages, 3 eps figures
Categories: math.GT
Subjects: 57N10, 57M10
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