Bipermutahedron and biassociahedron

2012/09/24 by Martin Markl, Markl, Martin
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1209.5193

Abstract

We give a simple description of the face poset of the biassociahedra that generalizes, in a straightforward manner, the description of the faces of the Stasheff's associahedra via planar trees.

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• Realization of the Stasheff polytope
• Shuffles of deformed permutahedra, multiplihedra, constrainahedra, and biassociahedra
• The permuto-associahedron revisited
• The diagonal of the associahedra
• P-associahedra