The HOMFLY-PT polynomials of sublinks and the Yokonuma–Hecke algebras

Loïc Poulain d'Andecy (1, 2) , Emmanuel Wagner (3)

1 LMR - Laboratoire de Mathématiques de Reims
2 URCA - Université de Reims Champagne-Ardenne
3 IMB - Institut de Mathématiques de Bourgogne [Dijon]

We describe completely the link invariants constructed using Markov traces on the Yokonuma–Hecke algebras in terms of the linking matrix and the Hoste–Ocneanu–Millett–Freyd–Lickorish–Yetter–Przytycki–Traczyk (HOMFLY-PT) polynomials of sublinks.

Mots clés: Yokonuma-Hecke algebras; Markov traces; Linking numbers

Domaines: Topologie géométrique [math.GT]

Loïc Poulain d'Andecy, Emmanuel Wagner. The HOMFLY-PT polynomials of sublinks and the Yokonuma–Hecke algebras. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2018, 148 (06), pp.1269-1278. ⟨10.1017/S0308210518000203⟩. ⟨hal-01962477⟩