Uniform 1-Cochains and Genuine Laminations
Geometric Topology
2007-05-23 v2
Abstract
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].
Cite
@article{arxiv.math/0304094,
title = {Uniform 1-Cochains and Genuine Laminations},
author = {Baris Coskunuzer},
journal= {arXiv preprint arXiv:math/0304094},
year = {2007}
}
Comments
34 pages, 17 figures, V2: minor changes in concluding remarks