Cours -- Symmetries of Poisson Brackets: The Graph Complex and Orientation Morphism

by Prof. Arthemy Kiselev (Groningen & IHES)

Thursday Nov 28, 2019, 2:00 PM → 5:15 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Lecture 2

Kontsevich's oriented graphs with decorated edges and outgoing edge ordering at vertices. The Poisson complex, the Poisson cohomology.

 * Universal (with respect to all affine Poisson manifolds) symmetries of the brackets.

 * The Leibniz graphs. Examples of factorizations via the Leibniz graphs.