Topological Quantum Field Theory and the Nielsen-Thurston classification of M(0,4)
Geometric Topology
2007-05-23 v2 Quantum Algebra
Abstract
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 . 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.
Keywords
Cite
@article{arxiv.math/0503414,
title = {Topological Quantum Field Theory and the Nielsen-Thurston classification of M(0,4)},
author = {Jorgen Ellegaard Andersen and Gregor Masbaum and Kenji Ueno},
journal= {arXiv preprint arXiv:math/0503414},
year = {2007}
}
Comments
13 pages, minor modifications, to be published in Math. Proc. Camb. Phil. Soc