Representations of braid groups via cyclic covers of the sphere: Zariski closure and arithmeticity

Gabrielle Menet, Duc-Manh Nguyen

Let $d\ge 2$ and $n\ge 3$ be two natural numbers. Given any sequence $\kappa =(k_1,\dots ,k_n)\in {\mathbb{Z}}^n$ such that $\gcd (k_1,\dots ,k_n,d)=1$, we consider the family of Riemann…