Subsymmetric exchanged braids and the Burau matrix

DOI10.1017/prm.2023.1MaRDI QIDQ6184847

Alexander Stoimenow

Publication date: 29 January 2024

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

conjugacylinking numberbraid groupexchange moveBurau matrix

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Matrix equations and identities (15A24) Knot polynomials (57K14) Knot theory (57K10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-conjugate braids with the same closure link from density of representations
• Studying links via closed braids. VI: A non-finiteness theorem
• Representation of links by braids: A new algorithm
• Hecke algebra representations of braid groups and link polynomials
• Studying links via closed braids. III: Classifying links which are closed 3-braids
• The Burau representation is not faithful for \(n=5\)
• The Burau representation is not faithful for \(n\geq 6\)
• Stabilization in the braid groups. I: MTWS
• Theory of braids
• An irreducible 4-string braid with unknotted closure
• Seifert circles and knot polynomials
• Threading knot diagrams
• Braids and the Jones Polynomial
• On the Braid Index of Alternating Links
• Studying Links Via Closed Braids. V: The Unlink
• On the structure of the centralizer of a braid
• Exchangeability and Non-Conjugacy of Braid Representatives
• EXCHANGE MOVES AND NONCONJUGATE BRAID REPRESENTATIVES OF KNOTS
• Properties of Closed 3-Braids and Braid Representations of Links
• THE BRAID GROUP AND OTHER GROUPS

This page was built for publication: Subsymmetric exchanged braids and the Burau matrix