Positroids, non-crossing partitions, and positively oriented matroids by Federico Ardila, Felipe Rincón, Lauren Williams

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Matroid Polytopes and Their Volumes by Federico Ardila, Carolina Benedetti, Jeffrey Doker

“…This gives a combinatorial expression for the degree of an arbitrary torus orbit closure in the Grassmannian $Gr_{k,n}$. We then derive analogous results for the independent set polytope and the associated flag matroid polytope of $M$. …”
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