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math.CO2025
On subdivisions of the permutahedron and flags of lattice path matroids
Carolina Benedetti
In this manuscript we study the subdivisions of the permutahedron into two subpolytopes corresponding to flags of positroids, which are in particular flags of lattice path ma…
math.CO2025
Shellability of the quotient order on lattice path matroids
Carolina Benedetti, Anton Dochtermann, Kolja Knauer +1
The concept of a matroid quotient has connections to fundamental questions in the geometry of flag varieties. In previous work, Benedetti and Knauer characterized quotients in the…
math.CO2019
Quotients of uniform positroids
Carolina Benedetti, Anastasia Chavez, Daniel Tamayo
Flag matroids are a rich family of Coxeter matroids that can be characterized using pairs of matroids that form a quotient. We consider a class of matroids called positroids, intro…