Cohomological Classification of Deformation Quantizations with Separation of Variables

Deformation theory and quantization. I. Deformations of symplectic structures

F. Bayen, M. Flato, C. Frønsdal et al. · Annals of Physics · 1978 · 1.5K citations

Natural Sciences, Mathematics, Physics +16

A simple geometrical construction of deformation quantization

Boris Fedosov · Journal of Differential Geometry · 1994 · 791 citations · Full text

Natural Sciences, Mathematics, Geometry +14

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

Marc de Wilde, Pierre Lecomte · Letters in Mathematical Physics · 1983 · 415 citations

Natural Sciences, Mathematics, Algebra +15

Algebraic index theorem

Ryszard Nest, Boris Tsygan · Communications in Mathematical Physics · 1995 · 268 citations

Weyl manifolds and deformation quantization

Hideki Omori, Yoshiaki Maeda, Akira Yoshioka · Advances in Mathematics · 1991 · 238 citations

Natural Sciences, Mathematics, Physics +13