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

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

2008-05-15

arxiv.org/abs/0805.2409v3

SIGMA 4 (2008), 060, 17 pages

Mathematics

Quantum Algebra

This is a contribution to the Special Issue on Deformation Quantization, published in SIGMA (Symmetry, Integrability and Geome

Scientific paper

10.3842/SIGMA.2008.060

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.

Affiliated with

Also associated with

No associations

Rating

Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-272092