Poisson brackets symmetry from the pentagon-wheel cocycle in the graph complex

Ricardo Buring, Arthemy V. Kiselev, Nina J. Rutten

Kontsevich designed a scheme to generate infinitesimal symmetries $\dot{\mathcal{P}}=\mathcal{Q}(\mathcal{P})$ of Poisson brackets $\mathcal{P}$ on all affine manifolds $M^r$; ev…