Image of the Burau representation at d -th roots of unity

• Autores: T. N. Venkataramana
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 179, Nº 3, 2014, págs. 1041-1083
• Idioma: inglés
• DOI: 10.4007/annals.2014.179.3.4
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• Resumen

  • We show that the image of the braid group under the monodromy action on the homology of a cyclic covering of degree d of the projective line is an arithmetic group provided the number of branch points is sufficiently large compared to the degree d . This is deduced by proving the arithmeticity of the image of the braid group on n+1 letters under the Burau representation evaluated at d -th roots of unity when n=2d .