Ordering braids: In memory of Patrick Dehornoy

DOI10.1142/S0218216522400028OpenAlexW4280520539MaRDI QIDQ5099109

Dale P. O. Rolfsen

Publication date: 31 August 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216522400028

zbMATH Keywords

orderingsbraids

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Research exposition (monographs, survey articles) pertaining to ordered structures (06-02)

Cites Work

• Unnamed Item
• Unnamed Item
• The left distributive law and the freeness of an algebra of elementary embeddings
• Ordering the braid groups
• The proof of Birman's conjecture on singular braid monoids.
• Braid group actions on left distributive structures, and well orderings in the braid groups
• Braid ordering and the geometry of closed braid
• The space of left orders of a group is either finite or uncountable
• BRAID ORDERING AND KNOT GENUS
• Braid Groups and Left Distributive Operations
• Local indicability in ordered groups: Braids and elementary amenable groups
• An Ordering for Groups of Pure Braids and Fibre-Type Hyperplane Arrangements
• New points of view in knot theory
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
• Dehornoy’s ordering on the braid group and braid moves
• FROM LARGE CARDINALS TO BRAIDS VIA DISTRIBUTIVE ALGEBRA
• Braids with as many full twists as strands realize the braid index
• DENSELY ORDERED BRAID SUBGROUPS
• On braid groups

This page was built for publication: Ordering braids: In memory of Patrick Dehornoy