Comparing Diagonals on the Associahedra
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916134343671808 |
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| author | Saneblidze, Samson Umble, Ronald |
| author_facet | Saneblidze, Samson Umble, Ronald |
| contents | We prove that the formula for the diagonal approximation $Δ_{K}$ on J. Stasheff's $n$-dimensional associahedron $K_{n+2}$ derived by the current authors in 2004 agrees with the "magical formula" for the diagonal approximation $Δ_{K}^{\prime}$ derived by Markl and Shnider in 2006, by Loday in 2011, and by Masuda, Thomas, Tonks, and Vallette in 2021. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08543 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Comparing Diagonals on the Associahedra Saneblidze, Samson Umble, Ronald Algebraic Topology Combinatorics Primary 55P48, 55P99, Secondary 52B05, 52B11 We prove that the formula for the diagonal approximation $Δ_{K}$ on J. Stasheff's $n$-dimensional associahedron $K_{n+2}$ derived by the current authors in 2004 agrees with the "magical formula" for the diagonal approximation $Δ_{K}^{\prime}$ derived by Markl and Shnider in 2006, by Loday in 2011, and by Masuda, Thomas, Tonks, and Vallette in 2021. |
| title | Comparing Diagonals on the Associahedra |
| topic | Algebraic Topology Combinatorics Primary 55P48, 55P99, Secondary 52B05, 52B11 |
| url | https://arxiv.org/abs/2207.08543 |