4-strand Burau is unfaithful modulo 5
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.
Authors
- Geordie Williamson (ORCID: https://orcid.org/0000-0003-3672-5284)
- Oded Yacobi (ORCID: https://orcid.org/0000-0002-4739-0689)
- Joel Gibson
Institutions
- The University of Sydney (AU)
Publication Details
- Journal
- Journal of Experimental Mathematics
- Published
- 2025-02-28
- DOI
- https://doi.org/10.56994/jxm.001.001.003
- Primary Topic
- Enzyme Production and Characterization
- Type
- article
- Field-Weighted Citation Impact
- 0.00