Quantification formelle des variétés de Poisson

Joseph Oesterlé

Séminaire Bourbaki (1997-1998)

  • Volume: 40, page 211-229
  • ISSN: 0303-1179

How to cite


Oesterlé, Joseph. "Quantification formelle des variétés de Poisson." Séminaire Bourbaki 40 (1997-1998): 211-229. <http://eudml.org/doc/110245>.

author = {Oesterlé, Joseph},
journal = {Séminaire Bourbaki},
keywords = {Kontsevich's approach; deformation quantization of Poisson manifolds},
language = {fre},
pages = {211-229},
publisher = {Société Mathématique de France},
title = {Quantification formelle des variétés de Poisson},
url = {http://eudml.org/doc/110245},
volume = {40},
year = {1997-1998},

AU - Oesterlé, Joseph
TI - Quantification formelle des variétés de Poisson
JO - Séminaire Bourbaki
PY - 1997-1998
PB - Société Mathématique de France
VL - 40
SP - 211
EP - 229
LA - fre
KW - Kontsevich's approach; deformation quantization of Poisson manifolds
UR - http://eudml.org/doc/110245
ER -


  1. [1] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz et D. Sternheimer - Deformation theory and quantization, I and II, Ann. Phys.111 (1977), 61-151. Zbl0377.53025
  2. [2] M. De Wilde et 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. Zbl0526.58023
  3. [3] M. Kontsevich - Deformation quantization of Poisson manifolds, I, prépublication de l'IHÉS, octobre 1997. 
  4. [4] 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. Zbl1149.53319
  5. [5] A. Weinstein - Deformation quantization, Séminaire Bourbaki1993-94, exposé n° 789, Astérisque227 (1995), 389-409. Zbl0854.58026

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