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Generalized Bonahon-Wong-Yang volume conjecture of quantum invariants of surface diffeomorphisms I: the figure eight knot complement
Tushar Pandey, Ka Ho Wong
We propose a generalization of the Bonahon-Wong-Yang volume conjecture of quantum invariants of surface diffeomorphisms, by relating the asymptotics of the invariants with certain…
The Bonahon-Wong-Yang volume conjecture for the four-puncture sphere
Tushar Pandey
We compute the Bonahon-Wong-Yang quantum invariant for self-diffeomorphisms of the four-puncture sphere explicitly, based on the representation theory of the Checkov-Fock algebra.…
Geometry of fundamental shadow link complements and applications to the 1-loop conjecture
Tushar Pandey, Ka Ho Wong
We construct a geometric ideal triangulation for every fundamental shadow link complement and solve the gluing equation explicitly in terms of the logarithmic holonomies of the mer…
On the asymptotic expansion for the relative Reshetikhin-Turaev invariants of fundamental shadow link pairs
Tushar Pandey, Ka Ho Wong
We study the asymptotic expansion conjecture of the relative Reshetikhin-Turaev invariants proposed in \cite{WY4} for all pairs satisfying the property that …