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math.GT2004★ 8 cited
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…
math.GT2002
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…
math.GT1999
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…