Geodesic
The cohomology of the Brylinski double complex of Poisson manifolds, and the quantum de Rham cohomology
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2004), pp. 75-81 
V. V. Shurygin (Jr.). The cohomology of the Brylinski double complex of Poisson manifolds, and the quantum de Rham cohomology. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2004), pp. 75-81. http://geodesic.mathdoc.fr/item/IVM_2004_10_a7/
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     title = {The cohomology of the {Brylinski} double complex of {Poisson} manifolds, and the quantum de {Rham} cohomology},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2004_10_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Brylinski J.-L., “A differential complex for Poisson manifolds”, J. Diff. Geom., 28 (1988), 93–114 | MR | Zbl

[2] Vorobev Yu. M., Karasev M. V., “O puassonovykh mnogoobraziyakh i skobke Skhoutena”, Funkts. analiz i prilozh., 22:1 (1988), 1–11 | MR

[3] Lichnerowicz A., “Les variétés de Poisson et leurs algèbres de Lie associées”, J. Diff. Geom., 12:2 (1977), 253–300 | MR | Zbl

[4] Vaisman I., “Remarks on the Lichnerovicz–Poisson cohomology”, Ann. Inst. Fourier Grenoble, 40 (1990), 951–963 | MR | Zbl

[5] Weinstein A., “The local structure of Poisson manifolds”, J. Diff. Geom., 18:3 (1983), 523–557 | MR | Zbl

[6] Huebschmann J., “Poisson cohomology and quantization”, J. für reine und angew. Math., 408 (1990), 57–113 | MR | Zbl

[7] Kontsevich M., “Deformation quantization of Poisson manifolds”, Lett. Math. Phys., 66 (2003), 157–216 | DOI | MR | Zbl

[8] Cao H.-D., Zhou J., On quantum de Rham cohomology, Preprint , 1998, 36 pp. math.DG/9806157

[9] Koszul J.-L., “Crochet de Schouten–Nijenhuis et cohomologie”, Elie Cartan et les Math. d'Aujour d'Hui, Astérisque hors-série, 1985, 257–271 | MR | Zbl

[10] Michor P. W., “Remarks on the Schouten-Nijenhuis bracket”, Suppl. Rendiconti del Circolo Matematico di Palermo, Serie II, 16 (1987), 207–215 | MR | Zbl