Deformation quantization with generators and relations
Quantum Algebra
2012-01-24 v2 Mathematical Physics
math.MP
Abstract
In this paper we prove a conjecture of B. Shoikhet which claims that two quantization procedures arising from Fourier dual constructions actually coincide.
Keywords
Cite
@article{arxiv.0911.4377,
title = {Deformation quantization with generators and relations},
author = {Damien Calaque and Giovanni Felder and Carlo A. Rossi},
journal= {arXiv preprint arXiv:0911.4377},
year = {2012}
}
Comments
9 pages; 4 figures; many typos have been corrected; the introduction has been considerably extended and a more detailed exposition of the Koszul theory behind the main idea has been added; the proof of Proposition 2.4 (iii) has been also extended; Subsection 3.2 has been enlarged, and a more detailed exposition of how the Duflo element arises has been added