Equivalence Between Four Models of Associahedra
Combinatorics
2025-11-25 v3 Algebraic Topology
Abstract
We present a combinatorial isomorphism between Stasheff associahedra and an inductive cone construction of those complexes given by Loday. We give an alternate description of certain polytopes, known as multiplihedra, which arise in the study of maps. We also prove a combinatorial isomorphism between Stasheff associahedra, collapsed multiplihedra and graph cubeahedra for path graphs.
Keywords
Cite
@article{arxiv.2201.04847,
title = {Equivalence Between Four Models of Associahedra},
author = {Somnath Basu and Sandip Samanta},
journal= {arXiv preprint arXiv:2201.04847},
year = {2025}
}
Comments
27 pages, 23 figures, some references and figures are added with minor changes, Journal version