Papers › 4-Strand Burau is Unfaithful Modulo 5
4-Strand Burau is Unfaithful Modulo 5
Joel Gibson, Geordie Williamson, Oded Yacobi
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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.
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