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

T. N. Venkataramana

• 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 .