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Cohomologie tangente et cup-produit pour la quantification de Kontsevich

Dominique Manchon·Charles Torossian
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Abstract

On 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.

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BibTeXRIS

Dominique Manchon, Charles Torossian. 2003-11-06. Cohomologie tangente et cup-produit pour la quantification de Kontsevich. https://arxiv.org/abs/math/0106205

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