Polarization and deformation quantization
In: Bulletin de la Classe des Sciences de l'Académie Royale de Sciences, des Lettres et des Beaux-Arts de Belgique, Band 12, Heft 7, S. 229-248
We describe a construction of a star-product on a quantizable symplectic manifold (M, ധ) using a complex polarization F on M. In an effort to generalize this deformation method, we introduce the concept of a complex polarization on a regular Poisson manifold (M, Δ) which can be used to produce a tangential star-product on M.