Deformation quantization with separation of variables of an endomorphism bundle
Quantum Algebra
2015-06-16 v2
Abstract
Given a holomorphic Hermitian vector bundle and a star-product with separation of variables on a pseudo-Kaehler manifold, we construct a star product on the sections of the endomorphism bundle of the dual bundle which also has the appropriately generalized property of separation of variables. For this star product we prove a generalization of Gammelgaard's graph-theoretic formula.
Cite
@article{arxiv.1307.7204,
title = {Deformation quantization with separation of variables of an endomorphism bundle},
author = {Alexander Karabegov},
journal= {arXiv preprint arXiv:1307.7204},
year = {2015}
}
Comments
29 pages, an important reference is added, several typos corrected