This work reveals a criterion for bi-ordering free groups through automorphisms, implying significance for link groups.
We give a new criterion which guarantees that a free group admits a bi-ordering that is invariant under a given automorphism. As an application, we show that the fundamental group of the “magic manifold” is bi-orderable, answering a question of Kin and Rolfsen.
No takes yet. Share an insight, caveat, or question.
Cai et al. (2025) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: