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Fedosov connections on jet bundles and deformation quantization

Mathematical Physics & Probability

Speaker: Giovanni Felder, ETH Zurich
Location: 693 Kerr
Start time: Tue, May 7 2002, 3:10PM

I shall explain how Kontsevich's local formula for star-products can be patched together, using (generalized) Fedosov connections, to yield global star-products on Poisson manifolds. In the symplectic case, this approach gives in particular an identification of Kontsevich's star-product with Fedosov's.