Deformation cones of graph associahedra and nestohedra

Autor: Padrol, Arnau, Pilaud, Vincent, Poullot, Germain
Rok vydání: 2021
Předmět:
Zdroj: European J. Combin., 107:103594, 2023
Druh dokumentu: Working Paper
DOI: 10.1016/j.ejc.2022.103594
Popis: 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 leads in particular to the construction of kinematic nestohedra generalizing the kinematic associahedra that recently appeared in the theory of scattering amplitudes.
Comment: 27 pages, 10 figures. Section 2 is adapted from Section 2.4 of arXiv:1906.06861v2 (and will disappear there)
Databáze: arXiv