Scaffolds and normal CAT(0) planar graphs provide unique combinatorial representations of positive tropical Plucker vectors and embed into tropical linear spaces and affine buildings.
Early, Weighted blade arrangements and the positive tropical Grassmannian, preprint, 2020
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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
citing papers explorer
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Scaffolds for Higher Tropical Grassmannians: Foundations
Scaffolds and normal CAT(0) planar graphs provide unique combinatorial representations of positive tropical Plucker vectors and embed into tropical linear spaces and affine buildings.
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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