English

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

Combinatorics 2025-03-17 v1 Quantum Algebra Symplectic Geometry

Abstract

In this series of papers, we established that Qd=4γ3(P)Q^{\gamma_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 Rd\mathbb{R}^d (paper IV). This immediate sequel V. to I.--IV. is a guide to working with the package gcaops\textsf{gcaops} (https://github.com/rburing/gcaops) (G\textbf{G}raph C\textbf{C}omplex A\textbf{A}ction O\textbf{O}n P\textbf{P}oisson S\textbf{S}tructures) for SageMath\textsf{SageMath} by Buring (2022). Specifically, we shall explain the script used in paper II (arXiv:2409.12555) and the use of it.

Cite

@article{arxiv.2503.10926,
  title  = {Kontsevich graphs act on Nambu--Poisson brackets, V. Implementation},
  author = {Mollie S. Jagoe Brown and Arthemy V. Kiselev},
  journal= {arXiv preprint arXiv:2503.10926},
  year   = {2025}
}

Comments

28 pages

R2 v1 2026-06-28T22:19:54.064Z