9 citations · 55 across the 24 of their papers we have counts for
5 papers · 1 filter
Relative Reshetikhin-Turaev invariants, hyperbolic cone metrics and discrete Fourier transforms II
Ka Ho Wong, Tian Yang
We prove the Volume Conjecture for the relative Reshetikhin-Turaev invariants proposed in [29] for all pairs (M,K) such that M\K is homeomorphic to the complement of the figure-8 k…
A relative version of the Turaev-Viro invariants and the volume of hyperbolic polyhedral 3-manifolds
Tian Yang
We define a relative version of the Turaev-Viro invariants for an ideally triangulated compact 3-manifold with non-empty boundary and a coloring on the edges, generalizing the Tura…
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…
Relative Reshetikhin-Turaev invariants, hyperbolic cone metrics and discrete Fourier transforms I
Ka Ho Wong, Tian Yang
We propose the Volume Conjecture for the relative Reshetikhin-Turaev invariants of a closed oriented -manifold with a colored framed link inside it whose asymptotic behavior is…
On the Volume Conjecture for hyperbolic Dehn-filled -manifolds along the figure-eight knot
Ka Ho Wong, Tian Yang
Using Ohtsuki's method, we prove the Asymptotic Expansion Conjecture and the Volume Conjecture of the Reshetikhin-Turaev and the Turev-Viro invariants for all hyperbolic -manifo…