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math.GT2025
Cluster algebras and skein algebras for surfaces
Hiroaki Karuo, Han-Bom Moon, Helen Wong
We consider two algebras of curves associated to an oriented surface of finite type - the cluster algebra from combinatorial algebra, and the skein algebra from quantum topology. W…
math.GT2025
Center of generalized skein algebras
Hiroaki Karuo, Han-Bom Moon, Helen Wong
We consider a generalization of the Kauffman bracket skein algebra of a surface that is generated by loops and arcs between marked points on the interior or boundary, up to skein r…