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arXiv · 2308.04751

Hurwitz numbers for reflection groups III: Uniform formulas

Theo Douvropoulos·Joel Brewster Lewis·Alejandro H. Morales
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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.

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Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales. 2023-08-09. Hurwitz numbers for reflection groups III: Uniform formulas. https://doi.org/10.1112/jlms.70102

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