Skein and cluster algebras with coefficients for unpunctured surfaces

Tsukasa Ishibashi, Shunsuke Kano, Wataru Yuasa

We propose a skein model for the quantum cluster algebras of surface type with coefficients. We introduce a skein algebra ${\mathcal{S}}_{\Sigma ,\mathbb{W}}^A$ of a walled surface $(Σ,\…