Abstract
The totally nonnegative Grassmannian Gr(k,n)ā„0 is the subset of the real Grassmannian Gr(k,n) consisting of points with all nonnegative PlĆ¼cker coordinates. The circular Bruhat order is a poset isomorphic to the face poset of Postnikov's positroid cell decomposition of Gr(k,n)ā„0[10]. We provide a closed formula for the sum of its weighted chains in the spirit of Stembridge [11].
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