Generalized Permutohedra, Scattering Amplitudes, and a Cubic Three-Fold

Understand

In this note, we apply combinatorial techniques from our Ph.D.

• thesis to study how generalized permutohedra may be represented functionally on Parke-Tayor factors and related rational functions.
• In any functional representation of polyhedral cones, in general certain homological information may be lost.
• The combinatorial relations of the Parke-Taylor factors lift homologically to generalized permutohedra.