Deformation quantization modules II. Hochschild class
Algebraic Geometry
2010-03-22 v2 K-Theory and Homology
Abstract
This paper is the continuation of arXiv:0802.1245. We construct the Hochschild class for coherent modules over a deformation quantization algebroid on a complex Poisson manifold. We also define the convolution of Hochschild homologies, and prove that the Hochschild class of the convolution of two coherent modules is the convolution of their Hochschild classes. We study with some details the case of symplectic deformations.
Cite
@article{arxiv.0809.4309,
title = {Deformation quantization modules II. Hochschild class},
author = {Masaki Kashiwara and Pierre Schapira},
journal= {arXiv preprint arXiv:0809.4309},
year = {2010}
}
Comments
The contents of this paper is now included in Deformation quantization modules (arXiv:1003.3304).