paper

Hurwitz numbers for reflection groups III: Uniform formulas

arXiv:2308.04751 · doi:10.1112/jlms.70102

Abstract

We give uniform formulas for the number of full reflection factorizations of a parabolic quasi-Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus-0 Hurwitz numbers. This paper is the culmination of a series of three.

36 pages, comments very much welcome!