8 citations · 11 across the 2 of their papers we have counts for
4 papers
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
A volume formula for hyperbolic tetrahedra in terms of edge lengths
Jun Murakami, Akira Ushijima
We give a closed formula for volumes of generic hyperbolic tetrahedra in terms of edge lengths. The cue of our formula is by the volume conjecture for the Turaev-Viro invariant of…
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…
The colored Jones polynomials and the simplicial volume of a knot
Hitoshi Murakami, Jun Murakami
We show that the set of colored Jones polynomials and the set of generalized Alexander polynomials defined by Akutsu, Deguchi and Ohtsuki intersect non-trivially. Moreover it is sh…