Singular Hecke algebras, Markov traces, and HOMFLY-type invariants

Luis Paris, Loic Rabenda

We define the singular Hecke algebra $\mathcal{H}(S{B}_n)$ as the quotient of the singular braid monoid algebra $\mathbb{C}(q)[S{B}_n]$ by the Hecke relations $σ_k^2 = (q-1) σ_k +…