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math.QA2005
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…
math.QA2004
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…