@article{IVM_2004_10_a7,
author = {V. V. Shurygin (Jr.)},
title = {The cohomology of the {Brylinski} double complex of {Poisson} manifolds, and the quantum de {Rham} cohomology},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {75--81},
year = {2004},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2004_10_a7/}
}
TY - JOUR AU - V. V. Shurygin (Jr.) TI - The cohomology of the Brylinski double complex of Poisson manifolds, and the quantum de Rham cohomology JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2004 SP - 75 EP - 81 IS - 10 UR - http://geodesic.mathdoc.fr/item/IVM_2004_10_a7/ LA - ru ID - IVM_2004_10_a7 ER -
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/
[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