A simple permutoassociahedron
Combinatorics
2018-04-23 v4
Abstract
In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realized by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are "hybrids" of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane's coherence. This paper presents such a family.
Cite
@article{arxiv.1708.02482,
title = {A simple permutoassociahedron},
author = {Djordje Baralic and Jelena Ivanovic and Zoran Petric},
journal= {arXiv preprint arXiv:1708.02482},
year = {2018}
}
Comments
23 pages. Some changes in presentation. One new reference