Circularly ordering direct products and the obstruction to left-orderability

DOI10.2140/pjm.2021.312.401OpenAlexW3196819188MaRDI QIDQ1979490

Tyrone Ghaswala, Adam Clay

Publication date: 3 September 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08704

zbMATH Keywords

orderable groups3-manifold groups

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Ordered groups (group-theoretic aspects) (20F60) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

• Unnamed Item
• Cyclically ordered groups
• Orderable 3-manifold groups.
• Rigidity of mapping class group actions on \(S^1\)
• Promoting circular-orderability to left-orderability
• On L-spaces and left-orderable fundamental groups
• Generalizations of the Burns–Hale theorem
• A Survey of Heegaard Floer Homology
• Groups of dimension 1 are locally free
• On cyclically ordered groups