Geometric Bruhat order on (0,1)-matrices
Combinatorics
2024-05-24 v2 High Energy Physics - Theory
Algebraic Geometry
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.
Cite
@article{arxiv.2311.05531,
title = {Geometric Bruhat order on (0,1)-matrices},
author = {Tommaso Maria Botta and Alexander O. Foster and Richard Rimanyi},
journal= {arXiv preprint arXiv:2311.05531},
year = {2024}
}
Comments
v3: 23 pages, section 3 with generalities on bow varieties added, typos fixed. Comments welcome