Image of the Burau representation at \(d\)-th roots of unity.

DOI10.4007/annals.2014.179.3.4zbMath1345.20051arXiv1205.6543OpenAlexW3105339840MaRDI QIDQ2453589

Tyakal Nanjundiah Venkataramana

Publication date: 10 June 2014

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6543

zbMATH Keywords

braid groupsBurau representationarithmetic groupsmonodromy actions

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36) Linear algebraic groups over global fields and their integers (20G30)

Related Items

Linear-central filtrations and the image of the Burau representation ⋮ Monodromy of cyclic coverings of the projective line ⋮ Discrete real specializations of sesquilinear representations of the braid groups ⋮ Cones and ping-pong in three dimensions ⋮ Homological representations of low genus mapping class groups ⋮ IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮ Arithmeticity of some hypergeometric monodromy groups in Sp(4) ⋮ The level four braid group ⋮ Arithmeticity of the monodromy of some Kodaira fibrations ⋮ Arithmeticity of Some Monodromy Groups ⋮ Classification of the real discrete specialisations of the Burau representation of B₃ ⋮ Braid groups and mapping class groups: The Birman–Hilden theory ⋮ Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at \(t=-1\)

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