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Kontsevich graphs act on Nambu--Poisson brackets, V. Implementation

2025/03/13 by M. Brown, Arthemy V. Kiselev, Brown, Mollie S. Jagoe +1
Mathematics · Physics and Astronomy · #05C22 #17B63 #53D17 #53D55 #68R10 #Black Holes and Theoretical Physics #Combinatorics (math.CO) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2503.10926

openalex publication_date 2025/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this series of papers, we established that Qγ3d=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 ℝd (paper IV). This immediate sequel V. to I.--IV. is a guide to working with the package \textsfgcaops (https://github.com/rburing/gcaops) (Graph Complex Action On Poisson Structures) for \textsfSageMath by Buring (2022). Specifically, we shall explain the script used in paper II (arXiv:2409.12555) and the use of it.

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