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- W2003440156 abstract "The purpose of the article is to prove that there are infinitely many closed hyperbolic 3-manifolds which do not admit essential laminations. The manifolds are obtained by Dehn surgery on torus bundles over the circle. This gives a definitive negative answer to a fundamental question posed by Gabai and Oertel when they introduced essential laminations. The proof is obtained by analysing group actions on on trees and showing that certain 3-manifold groups only have trivial actions on trees. There are corollaries concerning the existence of Reebless foliations and pseudo-Anosov flows." @default.
- W2003440156 created "2016-06-24" @default.
- W2003440156 creator A5065511615 @default.
- W2003440156 date "2007-01-01" @default.
- W2003440156 modified "2023-10-17" @default.
- W2003440156 title "Laminar free hyperbolic 3-manifolds" @default.
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- W2003440156 doi "https://doi.org/10.4171/cmh/92" @default.
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