On Deformation Quantizations of Hypertoric varieties
Representation Theory
2012-08-30 v3 Quantum Algebra
Abstract
Based on a construction by Kashiwara and Rouquier, we present an analogue of the Beilinson- Bernstein localization theorem for hypertoric varieties. In this case, sheaves of differential operators are replaced by sheaves of W-algebras. As a special case, our result gives a localization theorem for rational Cherednik algebras associated to cyclic groups.
Cite
@article{arxiv.1005.4645,
title = {On Deformation Quantizations of Hypertoric varieties},
author = {Gwyn Bellamy and Toshiro Kuwabara},
journal= {arXiv preprint arXiv:1005.4645},
year = {2012}
}
Comments
33 pages; text has been substantially revised; Final version to appear in PJM