Séminaire Lotharingien de Combinatoire, 85B.10 (2021), 12 pp.

Doriann Albertin, Vincent Pilaud and Julian Ritter

Type Cones of Permutree Fans

Abstract. 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.

Received: December 1, 2020. Accepted: March 1, 2021. Final version: April 29, 2021.

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