20 citations · 40 across the 4 of their papers we have counts for
5 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…
The colored Jones polynomial and the A-polynomial for twist knots
Toshie Takata
We show that for a twist knot, the A-polynomial can be obtained from recurrences for the summand in Masbaum's formula of the colored Jones polynomial. Our result supports the AJ co…
Quantum invariants of Seifert 3-manifolds and their asymptotic expansions
Soren Kold Hansen, Toshie Takata
We report on recent results of the authors concerning calculations of quantum invariants of Seifert 3-manifolds. These results include a derivation of the Reshetikhin-Turaev invari…
Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple Lie algebras, and their asymptotic expansions
S. K. Hansen, T. Takata
We derive formulas for the Reshetikhin-Turaev invariants of all oriented Seifert manifolds associated to an arbitrary complex finite dimensional simple Lie algebra in…
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…