Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
| dc.creator | Calaque, Damien | |
| dc.creator | Rossi, Carlo A. | |
| dc.date | 2008-05-15 | |
| dc.date | 2008-09-03 | |
| dc.date.accessioned | 2026-07-07T09:59:52Z | |
| dc.date.available | 2026-07-07T09:59:52Z | |
| dc.description | 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. | |
| dc.description | This is a contribution to the Special Issue on Deformation Quantization, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0805.2409 | |
| dc.identifier | http://arxiv.org/abs/0805.2409 | |
| dc.identifier | SIGMA 4 (2008), 060, 17 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.060 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168178 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.title | Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants | |
| dc.type | text |