{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/on-computational-poisson-geometry-i-symbolic","title":"On Computational Poisson Geometry I: Symbolic Foundations","arxiv_id":"1912.01746","date":"2019-12-04","proceeding":null,"authors":["M. A. Evangelista-Alvarado","J. C. Ruíz-Pantaleón","P. Suárez-Serrato"],"abstract":"We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module $\\textsf{PoissonGeometry}$ implements our algorithms, and accompanies this paper. We include two examples of how our methods can be used, one for gauge transformations of Poisson bivectors in dimension 3, and a second one that determines parametric Poisson bivector fields in dimension 4.","url_abs":"https://arxiv.org/abs/1912.01746v1","url_pdf":"https://arxiv.org/pdf/1912.01746v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"on-computational-poisson-geometry-i-symbolic","repo_url":"https://github.com/appliedgeometry/poissongeometry","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"on-computational-poisson-geometry-i-symbolic","repo_url":"https://github.com/appliedgeometry/NumericalPoissonGeometry","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"tf","reach":null},{"paper_slug":"on-computational-poisson-geometry-i-symbolic","repo_url":"https://github.com/mevangelista-alvarado/NumericalPoissonGeometry","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"tf","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}