Arnau Padrol, Vincent Pilaud, Germain Poullot
Published 2021-09-19Version 1
We give the facet description of the deformation cones of graph associahedra and nestohedra, generalizing the classical parametrization of the family of deformed permutahedra by the cone of submodular functions. When the underlying building set is made of intervals, this yields in particular to the construction of kinematic nestohedra generalizing the kinematic associahedra that recently appeared in the theory of scattering amplitudes.
Comments: 23 pages, 7 figures. arXiv admin note: text overlap with arXiv:1906.06861
Compatibility fans for graphical nested complexes
Rays of the deformation cones of graphical zonotopes
$P$-associahedra
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