Linear-central filtrations and the image of the Burau representation

DOI10.1007/s10711-020-00544-4OpenAlexW3036122386MaRDI QIDQ2664078

Nick Salter

Publication date: 20 April 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11209

zbMATH Keywords

Burau representationbraid group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Cites Work

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• Infinite generation of the kernels of the Magnus and Burau representations.
• Über das Geschlecht von Knoten
• Braid groups and Hodge theory
• The Burau representation is not faithful for \(n=5\)
• Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at \(t=-1\)
• The Burau representation is not faithful for \(n\geq 6\)
• Image of the Burau representation at \(d\)-th roots of unity.
• On the Linear Representation of Braid Groups
• The Burau Representation is Unitary
• The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛
• On the homology and cohomology of congruence subgroups

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