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arXiv · 0805.2409

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

Damien Calaque·Carlo A. Rossi
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Abstract

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.

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BibTeXRIS

Damien Calaque, Carlo A. Rossi. 2008-09-03. Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants. https://doi.org/10.3842/sigma.2008.060

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