On Computational Poisson Geometry I: Symbolic Foundations

12/04/2019

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by   M. A. Evangelista-Alvarado, et al.

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We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module 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.