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Noncrossing Duality and the Geometry of Positive Tropical Linear Spaces

math.CO · 2026-04-28 · unverdicted · novelty 7.0

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.

Multi-Loop Negative Geometries

hep-th · 2026-05-27 · unverdicted · novelty 5.0

Explicit three-loop computation of negative geometries for F(g,z) with all-loop resummation of one-cycle diagrams and extraction of the cusp anomalous dimension via z-integration.

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  • Noncrossing Duality and the Geometry of Positive Tropical Linear Spaces math.CO · 2026-04-28 · unverdicted · none · ref 26

    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.

  • Multi-Loop Negative Geometries hep-th · 2026-05-27 · unverdicted · none · ref 52

    Explicit three-loop computation of negative geometries for F(g,z) with all-loop resummation of one-cycle diagrams and extraction of the cusp anomalous dimension via z-integration.