Equivalence Between Four Models of Associahedra
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908669759717376 |
|---|---|
| author | Basu, Somnath Samanta, Sandip |
| author_facet | Basu, Somnath Samanta, Sandip |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_04847 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Equivalence Between Four Models of Associahedra Basu, Somnath Samanta, Sandip Combinatorics Algebraic Topology 52B11 (Primary) 52B12, 06A07, 52B05 (Secondary) 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. |
| title | Equivalence Between Four Models of Associahedra |
| topic | Combinatorics Algebraic Topology 52B11 (Primary) 52B12, 06A07, 52B05 (Secondary) |
| url | https://arxiv.org/abs/2201.04847 |