Cohomologie tangente et cup-produit pour la quantification de Kontsevich

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dc.creatorManchon, Dominique
dc.creatorTorossian, Charles
dc.date2001-06-25
dc.date2003-11-06
dc.date.accessioned2026-07-07T04:42:18Z
dc.date.available2026-07-07T04:42:18Z
dc.descriptionOn a flat manifold, M. Kontsevich's formality quasi-isomorphism is compatible with cup-products on tangent cohomology spaces, in the sense that its derivative at any formal Poisson 2-tensor induces an isomorphism of graded commutative algebras from Poisson cohomology space to Hochschild cohomology space relative to the associated deformed multiplication. We give here a detailed proof of this result, with signs and orientations precised.
dc.descriptionin French, plain-TeX, 31 pages, 8 eps figures. Erreurs typographiques et signes corriges dans le theoreme 4.6 et la proposition 4.1
dc.identifierhttps://arxiv.org/abs/math/0106205
dc.identifierhttp://arxiv.org/abs/math/0106205
dc.identifierAnn. Math. Blaise Pascal 9 (2003), no. 2, 1--32
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61720
dc.subjectQuantum Algebra
dc.subject16S80; 53D17; 53D55; 58A50
dc.titleCohomologie tangente et cup-produit pour la quantification de Kontsevich
dc.typetext

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