The Nielsen-Thurston classification of mapping classes is determined by TQFT
Quantum Algebra
2007-05-23 v1 Differential Geometry
Abstract
For each fixed n>=2 we show how the Nielsen-Thurston classification of mapping classes for a closed surface of genus g>=2 is determined by the sequence of quantum SU(n) representations, when one considers all levels. That this is the case is a consequence of our asymptotic faithfulness property. We here provide explicit conditions on the image under these representations, which determines the Nielsen-Thurston type of any mapping class.
Keywords
Cite
@article{arxiv.math/0605036,
title = {The Nielsen-Thurston classification of mapping classes is determined by TQFT},
author = {Jorgen Ellegaard Andersen},
journal= {arXiv preprint arXiv:math/0605036},
year = {2007}
}