3 papers
math.QA2025
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…
math.QA2025
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…
math.GT2025
Frobenius homomorphisms for stated -skein modules
Hyun Kyu Kim, Thang T. Q. Lê, Zhihao Wang
The stated -skein algebra of a surface is a quantization of the -character variety, and is spanned over…