Free subgroups within the images of quantum representations
Geometric Topology
2016-02-12 v2 Group Theory
Abstract
We prove that, except for a few explicit roots of unity, the quantum image of any Johnson subgroup of the mapping class group contains an explicit free non-abelian subgroup.
Keywords
Cite
@article{arxiv.1108.4904,
title = {Free subgroups within the images of quantum representations},
author = {Louis Funar and Toshitake Kohno},
journal= {arXiv preprint arXiv:1108.4904},
year = {2016}
}
Comments
revised version 14p., 4 figures. We removed the sections containing applications of the largeness results presented here to finite index subgroups of mapping class groups, as the proofs in the former version have a gap. arXiv admin note: substantial text overlap with arXiv:0907.0568