Ordered bases, order-preserving automorphisms and bi-orderable link groups
Abstract 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.
Authors
- Tommy Wuxing Cai
- Dale Rolfsen
- Adam Clay (ORCID: https://orcid.org/0000-0002-3918-1692)
Institutions
- University of British Columbia (CA)
- University of Manitoba (CA)
Publication Details
- Journal
- Mathematical Proceedings of the Cambridge Philosophical Society
- Published
- 2025-10-02
- DOI
- https://doi.org/10.1017/s0305004125101734
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00