Asymptotic Faithfulness of Quantum $\mathrm{Sp}(4)$ Mapping Class Group Representations
Quantum Algebra
2018-02-08 v2 Geometric Topology
Abstract
We prove asymptotic faithfulness for the quantum mapping class group representation. This provides the first example of asymptotic faithfulness lying outside of the family. The methods used are generalized from the proof of asymptotic faithfulness for skein mapping class group representations. In short, for any noncentral mapping class a comparison vector is found which allows for the mapping class to be detected.
Keywords
Cite
@article{arxiv.1801.01268,
title = {Asymptotic Faithfulness of Quantum $\mathrm{Sp}(4)$ Mapping Class Group Representations},
author = {Wade Bloomquist},
journal= {arXiv preprint arXiv:1801.01268},
year = {2018}
}
Comments
12 pages, 13 figures. arXiv admin note: text overlap with arXiv:1611.04551