Foliations from left orders
Hyungryul Baik, Sebastian Hensel, Chenxi Wu

TL;DR
This paper introduces a method to construct singular foliations from left orders of a manifold's fundamental group, exploring its implications especially in dimension 2 and connections to 3-dimensional topology.
Contribution
It presents a novel construction linking algebraic order structures to geometric foliations, with detailed analysis in low dimensions and applications to 3-manifold problems.
Findings
Construction produces singular foliations from left orders
Connections established between algebraic orders and geometric structures
Detailed analysis in dimension 2 with implications for 3-manifolds
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 , and exhibit connections to various problems in dimension .
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Taxonomy
TopicsGeometric and Algebraic Topology · Finite Group Theory Research · Advanced Operator Algebra Research
