3 papers
math.GT2026
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…
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
Fast Algorithm for Multiplication on the Skein Algebra of One-hole Torus
Sike Wang, Helen Wong
The Kauffman bracket skein algebra of a surface is a generalization of the Jones polynomial invariant for links and plays a principal role in the Witten-Reshetikhin- Turaev topolog…