The Yokonuma-Hecke algebras and the HOMFLYPT polynomial

2012/04/09 by Maria Chlouveraki, Sofia Lambropoulou, Chlouveraki, Maria +1 · 1 citation
Mathematics · #20C08 #20F36 #57M25 #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:20C08 #msc:20F36 #msc:57M25 #msc:57M27

paper · pdf · doi:10.48550/arxiv.1204.1871

23 pages, Final version

openalex publication_date 2012/04/09 · arxiv created 2013/11/28 · arxiv updated 2013/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compare the invariant for classical knots and links defined using the Juyumaya trace on the Yokonuma-Hecke algebras with the HOMFLYPT polynomial. We show that the two invariants, as maps on the set \mathcal L of oriented link types in S³, do not coincide except in a few trivial cases.

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