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A Coxeter link is a closure of a product of two braids, one being aquasi-Coxeter element and the other being a product of partial full twists.This class of links includes torus knots \(T_{n,k}\) and torus links\(T_{n,nk}\). We identify the knot homology of a Coxeter link with the space ofsections of a particular line bundle on a natural generalization of thepunctual locus inside the flag Hilbert scheme of points in \(\mathbb{C}^2\).

HOMFLYPT homology of Coxeter links