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

Symmetry, Integrability and Geometry: Methods and Applications

关键词: deformation quantization;    formality theorems;    cap-products;    Duflo isomorphism;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown