1 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
Asymptotics of - symbols and anti-de Sitter tetrahedra
Tianyue Liu, Shuang Ming, Xin Sun +2
In this paper, we study the asymptotics of the -symbols for the principal series of the modular double of , and of their analytic extensi…
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{…
Toric Einstein 4-manifolds with nonnegative sectional curvature
Tianyue Liu
We prove that -invariant Einstein metrics with non-negative sectional curvature on a four-manifold are locally symmetric.