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Symmetry, Integrability and Geometry: Methods and Applications | Vol.4, Issue. | 2017-06-14 | Pages
Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
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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Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
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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coinvariants poisson structure on r^d cohomology hochschild homology quantized starproduct algebra tangent isomorphism
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Damien Calaque,Carlo A. Rossi,.Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants. 4 (),.
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