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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 |

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