Type cones of permutree fans
- Doriann Albertin (Université Gustave Eiffel, Champs-sur-Marne, France)
Permutreehedra are polytopes that interpolate between the permutahedron, the associahedron and the cube. They were constructed as removahedra, i.e. by deleting inequalities in the facet description of the classical permutahedron. We investigate the type cone (the space of polytopal realizations) of permutree fans and prove that this removahedral construction works starting from any realization of the braid fan.