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
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Establishes noncrossing duality linking positive tropical Grassmannian fan structure to noncrossing fans with a bijection to noncrossing tableaux, and realizes bounded complexes of tropical linear spaces as subdifferentials whose diameter is set by the planar kinematics weight.
In type A, positive Minkowski sum of Schubert-matroid MV polytopes yields an MV polytope precisely when the indexing family is weakly separated.
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
Establishes noncrossing duality linking positive tropical Grassmannian fan structure to noncrossing fans with a bijection to noncrossing tableaux, and realizes bounded complexes of tropical linear spaces as subdifferentials whose diameter is set by the planar kinematics weight.
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Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation
In type A, positive Minkowski sum of Schubert-matroid MV polytopes yields an MV polytope precisely when the indexing family is weakly separated.