Lectures on Deformation quantization of Poisson manifolds

Quantenmechanik und Gruppentheorie

H. Weyl · 1927

Earlier work this paper cites.

Quantum corrections for thermodynamic equilibrium

E. P. Wigner · 1932

Earlier work this paper cites.

On the principles of elementary quantum mechanics

H. J. Groenewold · 1946

Earlier work this paper cites.

Quantum mechanics as a statistical theory

J. E. Moyal · 1949

Earlier work this paper cites.

Differential forms on regular affine algebras

G. Hochschild, B. Kostant, and A. Rosenberg · 1962

Earlier work this paper cites.

The cohomology structure of an associative ring

M. Gerstenhaber · 1963

Earlier work this paper cites.

Déformations 1-différentiales des algèbres de Lie attachées à une variété symplectique ou de contact

M. Flato, A. Lichnerowicz, and D. Sternheimer · 1975

Earlier work this paper cites.

Crochet de Moyal-Vey et quantification

M. Flato, A. Lichnerowicz, and D. Sternheimer · 1976

Earlier work this paper cites.

Deformation theory and Quantization I-II

F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer · 1978

Cited alongside, same era.

Differential Forms in Algebraic Topology

R. Bott and L.W. Tu · 1982

Cited alongside, same era.

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

M. De Wilde and P. B. A. Lecomte · 1983

Cited alongside, same era.

Manifolds, Tensor analysis and Applications

J. Marsden, R. Abraham, and T. Ratiu · 1988

Cited alongside, same era.

A simple Geometrical Construction of Deformation Quantization

B.V. Fedosov · 1994

Cited alongside, same era.

Lectures on the Geometry of Poisson Manifolds

I. Vaisman · 1994

Cited alongside, same era.

Introduction to Kontsevich’s result on Deformation–Quantization of Poisson structures

E. Arbarello · 1999

Later among the works it cites.

Equivalence of star products on a symplectic manifold: an introduction to Deligne’s Cech cohomology classes

S. Gutt and J. Rawnsley · 1999

Later among the works it cites.

Deformation theory via Differential Graded Lie Algebras

M. Manetti · 1999

Later among the works it cites.

Deformation Quantization of Poisson Manifolds

M. Kontsevich · 2003

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Formality and star product

A. S. Cattaneo and D. Indelicato · 2004

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Lie bialgebras, Poisson Lie groups and dressing transformations

Y. Kosmann-Schwarzbach · 2004

Later among the works it cites.