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4 papers · 2 filters
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…
Matroids with different configurations and the same -invariant
Joseph E. Bonin
From the configuration of a matroid (which records the size and rank of the cyclic flats and the containments among them, but not the sets), one can compute several much-studied ma…
The free -cone of a matroid and its -invariant
Joseph E. Bonin, Kevin Long
For a matroid , its configuration determines its -invariant. Few examples are known of pairs of matroids with the same -invariant but different configu…
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…