A new noncrossing duality in tropical geometry bijectionally links integer points of the positive tropical Grassmannian to noncrossing tableaux and realizes their bounded complexes as subdifferentials of central roof functions on the hypersimplex with dilation governed by the number of tableau
Arkani-Hamed, T
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Noncrossing Duality and the Geometry of Positive Tropical Linear Spaces
A new noncrossing duality in tropical geometry bijectionally links integer points of the positive tropical Grassmannian to noncrossing tableaux and realizes their bounded complexes as subdifferentials of central roof functions on the hypersimplex with dilation governed by the number of tableau