Cohomologie tangente et cup-produit pour la quantification de Kontsevich
Quantum Algebra
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0106205,
title = {Cohomologie tangente et cup-produit pour la quantification de Kontsevich},
author = {Dominique Manchon and Charles Torossian},
journal= {arXiv preprint arXiv:math/0106205},
year = {2007}
}
Comments
in French, plain-TeX, 31 pages, 8 eps figures. Erreurs typographiques et signes corriges dans le theoreme 4.6 et la proposition 4.1