Uniform 1-cochains and genuine laminations

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Abstract

We construct a pair of transverse genuine laminations on an atoroidal 3-manifold admitting a transversely orientable uniform 1-cochain. The laminations are induced by the uniform 1-cochain and they are the straightening of the coarse laminations defined by Calegari, by using minimal surface techniques. Moreover, when we collapse these laminations, we get a topological pseudo-Anosov flow, as defined by Mosher. © 2006 Elsevier Ltd. All rights reserved.

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Coskunuzer, B. (2006). Uniform 1-cochains and genuine laminations. Topology, 45(4), 751–784. https://doi.org/10.1016/j.top.2006.03.002

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