Proves BCFW cells triangulate the m=4 amplituhedron at arbitrary loop order and develops L-punctured positive Grassmannian extensions related by T-duality.
Discrete Differential Geometry and Cluster Algebras via TCD maps
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Amplituhedra and origami, II: loop level
Proves BCFW cells triangulate the m=4 amplituhedron at arbitrary loop order and develops L-punctured positive Grassmannian extensions related by T-duality.