4-Strand Burau is Unfaithful Modulo 5
Representation Theory
2023-10-05 v1
Abstract
We introduce a new algorithm for finding kernel elements in the Burau representation. Our algorithm applies reservoir sampling to a statistic on matrices which is closely correlated with Garside length. Using this we exhibit an explicit kernel element in the Burau representation on 4-strands reduced modulo 5.
Cite
@article{arxiv.2310.02403,
title = {4-Strand Burau is Unfaithful Modulo 5},
author = {Joel Gibson and Geordie Williamson and Oded Yacobi},
journal= {arXiv preprint arXiv:2310.02403},
year = {2023}
}
Comments
10 pages, 5 figures