Geometric Bruhat order on (0,1)-matrices

Published 9 Nov 2023 in math.CO, hep-th, and math.AG | (2311.05531v2)

Abstract: The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to $(0,1)$-matrices with fixed row and column sums. Namely, the Bruhat order induced by the geometry of a Cherkis bow variety of type A coincides with one of the two combinatorially defined Bruhat orders on the same set.

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