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Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
Article de revue   Avec comité de lecture

Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants

Damien Calaque et Carlo A. Rossi
Symmetry, integrability and geometry, methods and applications, Vol.4, p.060
01/01/2008

Résumé

Physical Sciences Physics Physics, Mathematical Science & Technology
In this paper we prove a conjecture of B. Shoikhet. This conjecture states that the tangent isomorphism on homology, between the Poisson homology associated to a Poisson structure on R-d and the Hochschild homology of its quantized star-product algebra, is an isomorphism of modules over the (isomorphic) respective cohomology algebras. As a consequence, we obtain a version of the Duflo isomorphism on coinvariants.

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