Abstract
We show that a co-orientable taut foliation of a closed, orientable, algebraically atoroidal 3-manifold is either the weak stable foliation of an Anosov flow, or else there are a pair of very full genuine laminations transverse to the foliation.
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Calegari, D. Promoting essential laminations. Invent. math. 166, 583–643 (2006). https://doi.org/10.1007/s00222-006-0004-3
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DOI: https://doi.org/10.1007/s00222-006-0004-3