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

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

Lecture 4

Open problems about the graph complex and Poisson bracket symmetries: the combinatorics of cocycles and Poisson non-triviality of the Kontsevich flows.

 * Deformation quantization: the noncommutative associative star-product, its associator, the factorization problem.

 * The action of graph complex on the space of Kontsevich’s star-products.