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.
Early, Factorization for generalized biadjoint scalar amplitudes via matroid subdivisions, preprint, 2022
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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.