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math.CO2025
A Proof of Rubey's Lattice Conjecture
Sara C. Billey, Connor McCausland, Clare Minnerath
In 2011, Rubey generalized chute and ladder moves on the set of reduced pipe dreams for a permutation and conjectured that the induced poset on reduced pipe dreams is a lattice…
math.CO2025
Brewing Fubini-Bruhat Orders
Sara C. Billey, Stark Ryan
The Bruhat order on permutations arises out of the study of Schubert varieties in Grassmannians and flag varieties, which have been important for over 100 years. The purpose of thi…