Geometric Bruhat order on (0,1)-matrices
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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