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http://dx.doi.org/10.4134/JKMS.j210535

FOLIATIONS FROM LEFT ORDERS  

Baik, Hyungryul (Department of Mathematical Sciences KAIST)
Hensel, Sebastian (Mathematics Institute University of Munich)
Wu, Chenxi (Department of Mathematics University of Wisconsin - Madison)
Publication Information
Journal of the Korean Mathematical Society / v.59, no.4, 2022 , pp. 699-715 More about this Journal
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.
Keywords
Left-invariant order; orderable group; geodesic lamination; foliation;
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