2 papers
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.GT2005
Topological Quantum Field Theory and the Nielsen-Thurston classification of M(0,4)
Jorgen Ellegaard Andersen, Gregor Masbaum, Kenji Ueno
We show that the Nielsen-Thurston classification of mapping classes of the sphere with four marked points is determined by the quantum SU(n)-representations, for any fixed integer…