Showing math.COShow all
3 papers · 1 filter
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 m…
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.CO2024
A quantum Murnaghan--Nakayama rule for the flag manifold
Carolina Benedetti, Nantel Bergeron, Laura Colmenarejo +2
In this paper, we give a rule for the multiplication of a Schubert class by a tautological class in the (small) quantum cohomology ring of the flag manifold. As an intermediate ste…