20 citations · 29 across the 5 of their papers we have counts for
5 papers
Asymptotics of the quantum invariants for surgeries on the figure 8 knot
Jorgen Ellegaard Andersen, Soren Kold Hansen
We investigate the Reshetikhin--Turaev invariants associated to SU(2) for the 3-manifolds M obtained by doing any rational surgery along the figure 8 knot. In particular, we expres…
Abelian homotopy Dijkgraaf-Witten theory
S. K. Hansen, J. K. Slingerland, P. R. Turner
We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show tha…
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…
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…