ar X iv : 0 80 5 . 24 09 v 1 [ m at h . Q A ] 1 5 M ay 2 00 8 SHOIKHET ’ S CONJECTURE AND DUFLO ISOMORPHISM ON ( CO )
نویسنده
چکیده
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.
منابع مشابه
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تاریخ انتشار 2008