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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
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.GT2025
Connected components of the space of type-preserving representations
Inyoung Ryu, Tian Yang
We complete the characterization of the connected components of the space of type-preserving representations of a punctured surface group into . We show…