A large color $R$-matrix for ${\mathfrak{sl}}_3$

Angus Gruen, Lara San Martín Suárez

We construct the invariant $F_K^{{\mathfrak{sl}}_3}\in \mathbb{Z}[q,q^{-1}][[x,y]]$ for any positive braid knot $K$, whose existence was conjectured by Park, building on earlier work…