5 papers · 1 filter
Asymptotics of quantum -symbols and generalized hyperbolic tetrahedra
Giulio Belletti, Tian Yang
We establish the geometry behind the quantum -symbols under only the admissibility conditions as in the definition of the Turaev-Viro invariants of -manifolds. As a classifi…
Asymptotics of quantum invariants of surface diffeomorphisms II: The figure-eight knot complement
Francis Bonahon, Helen Wong, Tian Yang
In earlier work, the authors introduced a conjecture which, for an orientation-preserving diffeomorphism of a surface, connects a certain quantum invariant of …
Discrete Fourier transforms, quantum -symbols and deeply truncated tetrahedra
Giulio Belletti, Tian Yang
The asymptotic behavior of quantum -symbols is closely related to the volume of truncated hyperideal tetrahedra\,\cite{C}, and plays a central role in understanding the asympto…
On type-preserving representations of the thrice punctured projective plane group
Sara Maloni, Frédéric Palesi, Tian Yang
In this paper we consider type-preserving representations of the fundamental group of the three--holed projective plane into $\mathrm{PGL}(2, \R) =\mathrm{Isom}(\HH^2)$ and study t…
Growth of quantum 6j-symbols and applications to the Volume Conjecture
Giulio Belletti, Renaud Detcherry, Efstratia Kalfagianni +1
We prove the Turaev-Viro invariants volume conjecture for a "universal" class of cusped hyperbolic 3-manifolds that produces all 3-manifolds with empty or toroidal boundary by Dehn…