3 citations · 10 across the 7 of their papers we have counts for
7 papers
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…
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…
Degenerations Of Skein Algebras And Quantum Traces
Wade Bloomquist, Hiroaki Karuo, Thang Lê
We introduce a joint generalization, called LRY skein algebras, of Kauffman bracket skein algebras (of surfaces) that encompasses both Roger-Yang skein algebras and stated skein al…
On positivity of Roger--Yang skein algebras
Hiroaki Karuo
We generalize the positivity conjecture on (Kauffman bracket) skein algebras to Roger--Yang skein algebras. To generalize it, we use explicit polynomials like Chebyshev polynomials…
Quantum duality maps, skein algebras and their ensemble compatibility
Tsukasa Ishibashi, Hiroaki Karuo
We generalize the quantum duality map of Allegretti--Kim [AK17] for punctured closed surfaces to general marked surfaces. When the marked surface has no…
Classification of semi-weight representations of reduced stated skein algebras
H. Karuo, J. Korinman
We classify the finite dimensional semi-weight representations of the reduced stated skein algebras at odd roots of unity of connected marked surfaces which either have a boundary…
Azumaya loci of skein algebras
Hiroaki Karuo, Julien Korinman
We compute the Azumaya loci of Kauffman-bracket skein algebras of closed surfaces at odd roots of unity and provide partial results for open surfaces as well. As applications, we g…