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Baik, Hyungryul; Hensel, Sebastian and Wu, Chenxi (2022): Foliations from left orders. In: Journal of the Korean Mathematical Society, Vol. 59, No. 4: pp. 699-715

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Abstract

We describe a construction which takes as an input a left order of the fundamental group of a manifold, and outputs a (singular) foliation of this manifold which is analogous to a taut foliation. We investigate this construction in detail in dimension 2, and exhibit connections to various problems in dimension 3.

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