2010/12/07 by Goundaroulis, Dimos, Juyumaya, Jesus, Kontogeorgis, Aristides +1
#FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1012.1557
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.