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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.
|Glasgow Author(s):||Bellamy, Dr Gwyn|
|Authors:||Bellamy, G., and Kuwabara, T.|
|Subjects:||Q Science > QA Mathematics|
|College/School:||College of Science and Engineering > School of Mathematics and Statistics > Mathematics|
|Journal Name:||Pacific Journal of Mathematics|