Geodesic
Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
Symmetry, integrability and geometry: methods and applications, Tome 4 (2008) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\mathbb R^d$ 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.
Keywords: deformation quantization; formality theorems; cap-products; Duflo isomorphism. 
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     author = {Damien Calaque and Carlo A. Rossi},
     title = {Shoikhet's {Conjecture} and {Duflo} {Isomorphism} on {(Co)Invariants}},
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     year = {2008},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a59/}
}
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Damien Calaque; Carlo A. Rossi. Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants. Symmetry, integrability and geometry: methods and applications, Tome 4 (2008). http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a59/

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