Geometric Bruhat order on (0,1)-matrices
arXiv:2311.05531
Abstract
The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to -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.
v3: 23 pages, section 3 with generalities on bow varieties added, typos fixed. Comments welcome