Foliations from left orders
J. Korean Math. Soc.
Published online December 6, 2021
Hyungryul Baik, Sebastian Hensel, and Chenxi Wu
KAIST; University of Munich; University of Wisconsin–Madison
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 : Foliation, Orderable group, PL manifold
MSC numbers : 57R30, 06F15, 20F65
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