A duality holds between positive and negative BB-type stratifications of a polytope, and the Chow polynomial of its graded vertex poset equals the h-polynomial of the dual monotone path polytope.
Stable map quotients (and orbifold log resolutions) of Richardson varieties.arXiv preprint arXiv:2505.09905
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Vertex Posets, Monotone Path Polytopes, and Chow Polynomials
A duality holds between positive and negative BB-type stratifications of a polytope, and the Chow polynomial of its graded vertex poset equals the h-polynomial of the dual monotone path polytope.