Cohomologie tangente et cup-produit pour la quantification de Kontsevich

Details Cohomologie tangente et cup-produit pour la quantification de Kontsevich Cohomologie tangente et cup-produit pour la quantification de Kontsevich

2001-06-25

arxiv.org/abs/math/0106205v2

Ann. Math. Blaise Pascal 9 (2003), no. 2, 1--32

Mathematics

Quantum Algebra

in French, plain-TeX, 31 pages, 8 eps figures. Erreurs typographiques et signes corriges dans le theoreme 4.6 et la propositio

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Cohomologie tangente et cup-produit pour la quantification de Kontsevich does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cohomologie tangente et cup-produit pour la quantification de Kontsevich, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomologie tangente et cup-produit pour la quantification de Kontsevich will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194225