Formality and star products [chapter]

Alberto S. Cattaneo, Simone Gutt, John Rawnsley, Daniel Sternheimer
Poisson Geometry, Deformation Quantisation and Group Representations  
These notes, based on the mini-course given at the PQR2003 Euroschool held in Brussels in 2003, aim to review Kontsevich's formality theorem together with his formula for the star product on a given Poisson manifold. A brief introduction to the employed mathematical tools and physical motivations is also given.
doi:10.1017/cbo9780511734878.008 fatcat:n3qiiay37be6vcmwooxyivwqom