1 citations · 2 across the 11 of their papers we have counts for
7 papers · 1 filter
Quantum cluster algebra realization for stated -skein algebras and rotation-invariant bases for polygons
Peigen Cao, Min Huang, Zhihao Wang
We construct a quantum cluster structure on the skew-field of fractions of the stated -skein algebra ${\mathscr S}_ω(\mathfra…
Centers and representations of quantum Teichmüller spaces
Zhihao Wang
In this paper, we compute the center of the balanced Fock-Goncharov algebra and determine its rank over the center when the quantum parameter is a root of unity. These results have…
Quantum cluster realization for projected stated -skein algebras
Min Huang, Zhihao Wang
We introduce a quantum cluster algebra structure inside the skew-field fractions of the…
Naturality of quantum trace maps for surfaces
Hyun Kyu Kim, Zhihao Wang
The -skein algebra of a punctured surface , studied by Sikora, is an algebra generated by isotopy classes of -webs living in the thickened surface $\ma…
The Unicity Theorem and the center of the -skein algebra
Hyun Kyu Kim, Zhihao Wang
The -skein algebra of a punctured oriented surface is a quantum deformation of the coordinate algebra of the ${\rm…
Stated -skein modules, roots of unity, and TQFT
Zhihao Wang
For a pb surface , two positive integers with , and two invertible elements in a commutative domain with , we construct an -linear isomor…
Representation-reduced stated skein modules and algebras
Zhihao Wang
For any marked three manifold and any quantum parameter (a nonzero complex number), we use to denote the s…