Fox-Neuwirth-Fuks cells, quantum shuffle algebras, and Malle's conjecture for function fields

Jordan S. Ellenberg, TriThang Tran, Craig Westerland

The purpose of this paper is to prove the upper bound in Malle's conjecture on the distribution of finite extensions of ${\mathbb{F}}_q(t)$ with specified Galois group. As in previou…