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R-covered foliations of 3-manifolds
Geometry/Topology| Speaker: | D. Calegari, U C Berkeley |
| Location: | 693 Kerr |
| Start time: | Wed, Nov 4 1998, 4:10PM |
Description
If M is a hyperbolic 3-manifold and F is a codimenson 1 foliation,
F lifts to a foliation of H^3. If the leaf space in the universal
cover is R, every leaf must limit to all of S^2. Many examples of these
foliations can be constructed, but most of them have the property
that leaves stay a bounded distance apart. We construct examples
where leaves diverge, but slowly enough that the foliations are
still R-covered, answering in the negative a question posed by
B. Thurston