Uniform 1-Cochains and Genuine Laminations

Details Uniform 1-Cochains and Genuine Laminations Uniform 1-Cochains and Genuine Laminations

2003-04-07

arxiv.org/abs/math/0304094v2

Topology 45 (2006) 751-784.

Mathematics

Geometric Topology

34 pages, 17 figures, V2: minor changes in concluding remarks

Scientific paper

We construct a pair of transverse genuine laminations on an atoroidal 3-manifold admitting transversely orientable uniform 1-cochain. The laminations are induced by the uniform 1-cochain and they are indeed the "straightening" of the coarse laminations defined in [Ca], by using minimal surface techniques. Moreover, when you collapse these laminations, you can get a topological pseudo-Anosov flow, as defined by Mosher, [Mo].

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