A relationship between the Kauffman bracket skein algebras and Roger-Yang skein algebras of some small surfaces

Chloe Marple, Helen Wong

We calculate the Roger-Yang skein algebra of the annulus with two interior punctures, ${\mathcal{S}}^{RY}(\hat{I}{\pounds }_{0,2,2})$, and show there is a surjective homomorphism from this algebr…