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, Planarity in generalized scattering amplitudes: PK polyto pe, generalized root systems and worldsheet associahedra, arXiv preprint arXiv:2106.07142 (2021)
3 Pith papers cite this work. Polarity classification is still indexing.
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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.
Classifies prime modules for 2-column semistandard Young tableaux in quantum affine algebras of type A up to a conjecture and gives a conjectural condition for tableaux with more columns.
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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Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux
Classifies prime modules for 2-column semistandard Young tableaux in quantum affine algebras of type A up to a conjecture and gives a conjectural condition for tableaux with more columns.