29 citations · 203 across the 38 of their papers we have counts for
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math.CO2021★ 6 cited
Hurwitz numbers for reflection groups I: Generatingfunctionology
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales
The classical Hurwitz numbers count the fixed-length transitive transposition factorizations of a permutation, with a remarkable product formula for the case of minimum length (gen…
math.CO2021★ 7 cited
The Hurwitz action in complex reflection groups
Joel Brewster Lewis, Jiayuan Wang
We enumerate Hurwitz orbits of shortest reflection factorizations of an arbitrary element in the infinite family of complex reflection groups. As a consequence, we cha…
math.CO2021
The path-missing and path-free complexes of a directed graph
Darij Grinberg, Lukas Katthän, Joel Brewster Lewis
We study two simplicial complexes arising from a directed graph with two chosen vertices and : the *path-free complex*, consisting of all subsets $F \subseteq E…