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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{…
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…
Dynamical Iitaka theory on Fano contractions
Sheng Meng, Long Wang, Tianle Yang
We give several structure theorems for certain surjective endomorphisms on Mori fibre spaces, based on the dynamical Iitaka fibration of the ramification divisor. As an application…