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This article is cited in 3 scientific papers (total in 3 papers)
Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
Damien Calaque, Carlo A. Rossi Department of Mathematics, ETH Zurich, 8092 Zurich, Switzerland
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.
Keywords:
deformation quantization; formality theorems; cap-products; Duflo isomorphism.
Received: May 23, 2008; in final form August 29, 2008; Published online September 3, 2008
Citation:
Damien Calaque, Carlo A. Rossi, “Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants”, SIGMA, 4 (2008), 060, 17 pp.
Linking options:
https://www.mathnet.ru/eng/sigma313 https://www.mathnet.ru/eng/sigma/v4/p60
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