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arXiv:2201.04847 [math.CO]AbstractReferencesReviewsResources

Equivalence Between Four Models of Associahedra

Somnath Basu, Sandip Samanta

Published 2022-01-13, updated 2022-02-01Version 2

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 $A_\infty$ maps. We also prove a combinatorial isomorphism between Stasheff associahedra, collapsed multiplihedra and graph cubeahedra for path graphs.

Comments: 21 pages, 22 figures, some references and figures are added with minor changes, comments are welcome
Categories: math.CO, math.AT
Subjects: 52B11, 52B12, 06A07, 52B05
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