Kavli Affiliate: Toshitake Kohno | Summary:We consider subgroups of the braid groups which are generated by $k$-th powers of the standard generators and prove that any infinite intersection (with even $k$) is trivial. This is motivated by some conjectures of Squier concerning the kernels of Burau’s representations of the braid groups at roots of unity. […]
Continue.. On Burau representations at roots of unity