Zhihao Wang

activity

20242026

collaborators

9 papers

math.QA2026

Quantum cluster algebra realization for stated $SL_{n}$ -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 $Frac (S_{I ¨} (S))$ of the stated $SL_{n}$ -skein algebra ${\mathscr S}_Ï(\mathf…

math.GT2026

Coordinates for $SL_{3}$ -web basis elements in closed surfaces

Zhe Sun, Zhihao Wang

The $SL_{3}$ -skein algebra of a closed surface $I^£_{g}$ is a quantization of the $SL_{3}$ character variety of $I^£_{g}$ , where $g$ denotes the genus of the surface. This algebr…

math.QA2025

Centers and representations of $SL_{n}$ quantum TeichmÃ¼ller 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 $SL_{n}$ -skein algebras

Min Huang, Zhihao Wang

We introduce a quantum cluster algebra structure $A_{I ¨} (S)$ inside the skew-field fractions $Frac (S_{I ¨} (S))$ of t…

math.GT2025

Frobenius homomorphisms for stated $SL_{n}$ -skein modules

Hyun Kyu Kim, Thang T. Q. LÃª, Zhihao Wang

The stated $SL_{n}$ -skein algebra $S_{q^} (S)$ of a surface $S$ is a quantization of the $SL_{n}$ -character variety, and is spanned over…

math.QA2025

Stated $S L_{n}$ -skein modules, roots of unity, and TQFT

Zhihao Wang

For a pb surface $I^£$ , two positive integers $m, n$ with $m ∣ n$ , and two invertible elements $v, I^µ$ in a commutative domain $R$ with $I^µ^{2 m} = 1$ , we construct an $R$ -linear iso…

Quantum cluster algebra realization for stated SLn​-skein algebras and rotation-invariant bases for polygons

Coordinates for SL3​-web basis elements in closed surfaces

Centers and representations of SLn​ quantum TeichmÃ¼ller spaces

Quantum cluster realization for projected stated SLn​-skein algebras

Frobenius homomorphisms for stated SLn​-skein modules

Stated SLn​-skein modules, roots of unity, and TQFT

Quantum cluster algebra realization for stated $SL_{n}$ -skein algebras and rotation-invariant bases for polygons

Coordinates for $SL_{3}$ -web basis elements in closed surfaces

Centers and representations of $SL_{n}$ quantum TeichmÃ¼ller spaces

Quantum cluster realization for projected stated $SL_{n}$ -skein algebras

Frobenius homomorphisms for stated $SL_{n}$ -skein modules

Stated $S L_{n}$ -skein modules, roots of unity, and TQFT