Identities of the Jones Monoid J₅

2021/11/10 by M. H. Shahzamanian, Shahzamanian, M. H.
Computer Science · Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2111.05591

openalex publication_date 2021/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Jones monoids J_n, for 1< n, is a family of monoids relevant in knot theory. The purpose of this paper is to characterize of the identities satisfied by the Jones monoid J₅.

Related

• Identities of the Kauffman Monoid K₄ and of the Jones monoid J₄
• Combinatorial Knot Theory and the Jones Polynomial
• Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids
• Identities of the stylic monoid
• Rogers-Ramanujan type identities and the head and tail of the colored Jones polynomial