The dissertation rewrites positive Schubert geometry via spectral algebraic geometry and differential cohesion to construct a categorical dual to the Amplituhedron with a De Rham volume.
A cluster of results on amplituhedron tiles
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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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Brave new categorical spectral positive Schubert geometry and the categorical Dual Amplituhedron
The dissertation rewrites positive Schubert geometry via spectral algebraic geometry and differential cohesion to construct a categorical dual to the Amplituhedron with a De Rham volume.