The Yokonuma-Temperley-Lieb Algebra
Geometric Topology
2013-12-09 v4
Abstract
In this paper we introduce the Yokonuma-Temperley-Lieb algebra as a quotient of the Yokonuma-Hecke algebra over a two-sided ideal generated by an expression analogous to the one of the classical Temperley-Lieb algebra. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma-Hecke algebra to pass through to the quotient algebra, leading to a sequence of knot invariants which coincide with the Jones polynomial.
Keywords
Cite
@article{arxiv.1012.1557,
title = {The Yokonuma-Temperley-Lieb Algebra},
author = {Dimos Goundaroulis and Jesus Juyumaya and Aristides Kontogeorgis and Sofia Lambropoulou},
journal= {arXiv preprint arXiv:1012.1557},
year = {2013}
}