Kontsevich graphs act on Nambu--Poisson brackets, V. Implementation
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917956848451584 |
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| author | Brown, Mollie S. Jagoe Kiselev, Arthemy V. |
| author_facet | Brown, Mollie S. Jagoe Kiselev, Arthemy V. |
| contents | In this series of papers, we established that $Q^{γ_3}_{d=4}(P)$ is a coboundary in 4D (paper II arXiv:2409.12555), and we presented a series of experimental results about the (non)trivialisation of Kontsevich graph flows of Nambu--Poisson brackets on $\mathbb{R}^d$ (paper IV). This immediate sequel V. to I.--IV. is a guide to working with the package $\textsf{gcaops}$ (https://github.com/rburing/gcaops) ($\textbf{G}$raph $\textbf{C}$omplex $\textbf{A}$ction $\textbf{O}$n $\textbf{P}$oisson $\textbf{S}$tructures) for $\textsf{SageMath}$ by Buring (2022). Specifically, we shall explain the script used in paper II (arXiv:2409.12555) and the use of it. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_10926 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kontsevich graphs act on Nambu--Poisson brackets, V. Implementation Brown, Mollie S. Jagoe Kiselev, Arthemy V. Combinatorics Quantum Algebra Symplectic Geometry 53D55, 17B63, 05C22, 68R10, 53D17 In this series of papers, we established that $Q^{γ_3}_{d=4}(P)$ is a coboundary in 4D (paper II arXiv:2409.12555), and we presented a series of experimental results about the (non)trivialisation of Kontsevich graph flows of Nambu--Poisson brackets on $\mathbb{R}^d$ (paper IV). This immediate sequel V. to I.--IV. is a guide to working with the package $\textsf{gcaops}$ (https://github.com/rburing/gcaops) ($\textbf{G}$raph $\textbf{C}$omplex $\textbf{A}$ction $\textbf{O}$n $\textbf{P}$oisson $\textbf{S}$tructures) for $\textsf{SageMath}$ by Buring (2022). Specifically, we shall explain the script used in paper II (arXiv:2409.12555) and the use of it. |
| title | Kontsevich graphs act on Nambu--Poisson brackets, V. Implementation |
| topic | Combinatorics Quantum Algebra Symplectic Geometry 53D55, 17B63, 05C22, 68R10, 53D17 |
| url | https://arxiv.org/abs/2503.10926 |