activity
20182026
most citedTuraev-Viro invariant from the modular double of

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.GT2026

Adjoint Reidemeister torsion from hyperbolic gluing equations

Shuang Ming, Baojun Wu

Motivated by the study of asymptotics of quantum invariants, Dimofte and Garoufalidis introduced a power series associated to a suitable ideal triangulation of a cusped hyperbolic…

math.GT2026

Turaev-Viro invariants for cusped -manifolds

Tianyue Liu, Shuang Ming, Xin Sun +2

We define a family of Turaev-Viro type invariants for hyperbolic -manifolds with cusp ends, extending the invariants introduced in \cite{LMSWY} for hyperbolic -manifolds with…

math.GT2025★ 1 cited

Turaev-Viro invariant from the modular double of

Tianyue Liu, Shuang Ming, Xin Sun +2

We define a family of Turaev-Viro type invariants of hyperbolic -manifolds with totally geodesic boundary from the -symbols of the modular double of $\mathrm U_{q}\mathfrak{…

math-ph2023

Alterfold Topological Quantum Field Theory

Zhengwei Liu, Shuang Ming, Yilong Wang +1

We introduce the 3-alterfold topological quantum field theory (TQFT) by extending the quantum invariant of 3-alterfolds. The bases of the TQFT are explicitly characterized and the…

math.QA2023

3-Alterfolds and Quantum Invariants

Zhengwei Liu, Shuang Ming, Yilong Wang +1

In this paper, we introduce the concept of 3-alterfolds with embedded separating surfaces. When the separating surface is decorated by a spherical fusion category, we obtain quantu…

math.QA2022

Reconstructing Braided Subcategories of

Zhaobidan Feng, Eric C. Rowell, Shuang Ming

Ocneanu rigidity implies that there are finitely many (braided) fusion categories with a given set of fusion rules. While there is no method for determining all such categories up…

math.GT2018

On TQFT representations of mapping class groups with boundary

Greg Kuperberg, Shuang Ming

We study the TQFT mapping class group representations for surfaces with boundary associated with the gauge group, or equivalently the quantum group $U_q(\Sl(2))$. We show t…