35 citations · 40 across the 5 of their papers we have counts for
5 papers
An application of non-positively curved cubings of alternating links
Makoto Sakuma, Yoshiyuki Yokota
By using non-positively curved cubings of prime alternating link exteriors, we prove that certain ideal triangulations of their complements, derived from reduced alternating diagra…
The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces
Hitoshi Murakami, Yoshiyuki Yokota
We calculate limits of the colored Jones polynomials of the figure-eight knot and conclude that in most cases they determine the volumes and the Chern--Simons invariants of the thr…
On the potential functions for the hyperbolic structures of a knot complement
Yoshiyuki Yokota
We explain how to construct certain potential functions for the hyperbolic structures of a knot complement, which are closely related to the analytic functions on the deformation s…
Kashaev's conjecture and the Chern-Simons invariants of knots and links
Hitoshi Murakami, Jun Murakami, Miyuki Okamoto +2
R.M. Kashaev conjectured that the asymptotic behavior of his link invariant, which equals the colored Jones polynomial evaluated at a root of unity, determines the hyperbolic volum…
On the volume conjecture for hyperbolic knots
Yoshiyuki Yokota
In this article, we give a rough, and so not complete yet, proof of Kashaev's conjecture, that is, the volume conjecture for hyperbolic knots, where the hyperbolicity equations ass…