Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds

✍ Scribed by Marc Wilde; Pierre B. A. Lecomte

• Publisher: Springer
• Year: 1983
• Tongue: English
• Weight: 401 KB
• Volume: 7
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00402248

✦ Synopsis

We prove the existence of star-products and of formal deformations of the Poisson Lie algebra of an arbitrary symplectic manifold. Moreover, all the obstructions encountered in the step-wise construction of formal deformations are vanishing.