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On the asymptotic expansion of the Kashaev invariant of the $5_2$ knot
2016
Quantum Topology
Preserved Fulltext
We give a presentation of the asymptotic expansion of the Kashaev invariant of the 52 knot. As the volume conjecture states, the leading term of the expansion presents the hyperbolic volume and the Chern-Simons invariant of the complement of the 52 knot. Further, we obtain a method to compute the full Poincare asymptotics to all orders of the Kashaev invariant of the 52 knot.
doi:10.4171/qt/83
fatcat:knp3d5odafbmrcvchw5k2fqsfq