Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
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Date
2008-09-03
Publication Type
Journal Article
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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 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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published
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Volume
4
Pages / Article No.
60
Publisher
Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine
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Subject
Deformation quantization; Formality theorems; Cap-products; Duflo isomorphism
Organisational unit
03445 - Felder, Giovanni (emeritus) / Felder, Giovanni (emeritus)