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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Authors: Calaque, D., Rossi, C.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149022
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants / D. Calaque and C.A. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 13 назв. — англ.

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 Rd and the Hochschild homology of its quantized star-product algebra, is an isomorphism of modules over the (isomorph...