Petite Bibliographie

Travaux antérieurs, Synthèses

G. Dito, D. Sternheimer, Deformation Quantization: Genesis, Developments and Metamorphoses, math.QA/0201168

M. De Wilde, P. Lecomte, Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds, Lett. Math. Phys. 7 (1983), 487-496

A. Weinstein, Deformation quantization, Séminaire Bourbaki 1993-94, Exposé 789, Astérisque, vol. 227, 389-409

O. Mathieu, Homologies associated with Poisson structures, dans : Deformation theory and symplectic geometry (Ascona 1996), Math. Phys. Stud. 20, Kluwer Akad. Publ., Dordrecht, 1997, 177-199

Autour de l'article de Kontsevich

M. Kontsevich, Deformation quantization of Poisson manifolds, I, q-alg/9709040

M. Kontsevich, Operads and Motives in Deformation Quantization, math.QA/9904055

M. Kontsevich, Y. Soibelman, Deformations of algebras over operads and Deligne's conjecture, math.QA/0001151

J. Oesterle, Quantification formelle des variétés de Poisson [d'après Kontsevich], Séminaire Bourbaki, 1997-98, Exposé 843 Astérisque No. 252, (1998), 211-229

A. S. Cattaneo, G. Felder, A path integral approach to the Kontsevich quantization formula, math.QA/9902090

A. S. Cattaneo, G. Felder, L. Tomassini, From local to global deformation quantization of Poisson manifolds math.QA/0012228

D. E. Tamarkin, Another proof of M. Kontsevich's formality theorem, math.QA/9803025

V. Hinich, Tamarkin's proof of Kontsevich's formality theorem, math.QA/0003052

D. Arnal, D. Manchon. M. Masmoudi, Choix des signes dans la formalité de M. Kontsevich, math.QA/0003003

D. Manchon, Poisson bracket, deformed bracked and gauge group actions in Kontsevich deformation quantization, math.QA/0003004

D. Manchon, C. Torossian, Cohomologie tangente et cup-produit pour la quantification de Kontsevich , math.QA/0106205

T. Mochizuki, On the morphism of Duflo-Kirillov type, Journal of Geometry and Physics, 41 (2002), 73-113.

Liens avec la théorie de Lie

C. Torossian, Kashiwara-Vergne-Rouvière methods for symmetric spaces, math.QA/0202217

C. Torossian, Sur la conjecture combinatoire de Kashiwara-Vergne, math.QA/0105152

M. Andler, S. Sahi, C. Torossian, Convolution of invariant distributions: Proof of the Kashiwara-Vergne conjecture, math.QA/0104100

M. Andler, A. Dvorsky, Siddhartha Sahi, Kontsevich quantization and invariant distributions on Lie groups, math.QA/9910104, voir aussi math.QA/9905065

B. Shoikhet, Vanishing of the Kontsevich integrals of the wheels, math.QA/0007080

B. Shoikhet, On the Kontsevich and the Campbell-Baker-Hausdorff deformation quantizations of a linear Poisson structure, math.QA/9903036

B. Shoikhet, Tsygan formality and Duflo formula, math.QA/0012066

V. Kathotia, Kontsevich's Universal Formula for Deformation Quantization and the Campbell-Baker-Hausdorff Formula, I, math.QA/9811174

Améliorations et variantes du théorème de Kontsevich

M. Kontsevich, Deformation quantization of algebraic varieties, math/0106006

G. Felder, B. Shoikhet, Deformation quantization with traces, math.QA/0002057

O. Kravchenko, Deformations of Batalin-Vilkovisky algebras, math.QA/9903191

D. Tamarkin, B. Tsygan Noncommutative differential calculus, homotopy BV algebras and formality conjectures, math.KT/0002116

B. Tsygan, Formality conjecture for chains, math.QA/9904132

B. Shoiket, A proof of the Tsygan formality conjecture for chains, math.QA/0010321

B. Shoiket, On the A-infinity formality conjecture, math.QA/9809117

V. Dolgushev, Covariant and equivariant Formality theorems, math.QA/0307212