Image of the Burau Representation at $d$-th Roots of unity

Abstract

We prove that the image of the Full braid group $B_{n+1}$ on $n+1$ strands under the Burau representation, evaluated at a primitive $d$-th root of unity is arithmetic provided $n\ge d$.

To appear in Annals of Mathematics. arXiv admin note: text overlap with arXiv:1204.4778

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