60 citations · 237 across the 30 of their papers we have counts for
33 papers
The asymptotic behaviors of the colored Jones polynomials of the figure eight-knot, and an affine representation
Hitoshi Murakami
We study the asymptotic behavior of the -dimensional colored Jones polynomial of the figure-eight knot evaluated at , where $κ:=\arccosh(3/2)$ and $…
The colored Jones polynomial of the figure-eight knot and a quantum modularity
Hitoshi Murakami
We study the asymptotic behavior of the -dimensional colored Jones polynomial of the figure-eight knot evaluated at , where is a small real num…
On the asymptotic behavior of the colored Jones polynomial of the figure-eight knot associated with a real number
Hitoshi Murakami, Anh T. Tran
We study the asymptotic behavior of the -dimensional colored Jones polynomial evaluated at for a real number greater than a certain constant. We prove that, from…
Quantum invariants of three-manifolds obtained by surgeries along torus knots
Hitoshi Murakami, Anh T. Tran
We study the asymptotic behavior of the Witten-Reshetikhin-Turaev invariant associated with the square of the -th root of unity with odd for a Seifert fibered space obtained…
The colored Jones polynomial of a cable of the figure-eight knot
Hitoshi Murakami, Anh T. Tran
We study the asymptotic behavior of the -dimensional colored Jones polynomial of a cable of the figure-eight knot, evaluated at for a real number . We show that i…
Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds
Hiroyuki Fuji, Kohei Iwaki, Hitoshi Murakami +1
In this paper, for a Seifert loop (i.e., a knot in a Seifert three-manifold), first we give a family of an explicit function whose special values at roots of unity are id…