Mathematics – Geometric Topology
Scientific paper
2005-03-21
Mathematics
Geometric Topology
13 pages, minor modifications, to be published in Math. Proc. Camb. Phil. Soc
Scientific paper
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 $n \geq 2$. In the Pseudo-Anosov case we also show that the stretching factor is a limit of eigenvalues of (non-unitary) SU(2)-TQFT representation matrices. It follows that at big enough levels, Pseudo-Anosov mapping classes are represented by matrices of infinite order.
Andersen Jorgen Ellegaard
Masbaum Gregor
Ueno Kenji
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