2016/02/23 by Dimos Goundaroulis, Sofia Lambropoulou, Goundaroulis, Dimos +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1602.07203
In this paper we first present the construction of the new 2-variable\nclassical link invariants arising from the Yokonuma-Hecke algebras rm\nYd,n(q), which are not topologically equivalent to the Homflypt\npolynomial. We then present the algebra rm FTLd,n(q) which is the\nappropriate Temperley-Lieb analogue of rm Yd,n(q), as well as the\nrelated 1-variable classical link invariants, which in turn are not\ntopologically equivalent to the Jones polynomial. Finally, we present the\nalgebra of braids and ties which is related to the Yokonuma-Hecke algebra, and\nalso its quotient, the partition Temperley-Lieb algebra rm PTLn(q) and we\nprove an isomorphism of this algebra with a subalgebra of rm FTLd,n(q).\n