On deformation quantizations of hypertoric varieties
On deformation quantizations of hypertoric varieties
复制标题
DOI：
10.2140/pjm.2012.260.89
复制
发表时间：
2010-05
影响因子：
0.6
通讯作者：
G. Bellamy;T. Kuwabara
中科院分区：
文献类型：
--
作者：
G. Bellamy;T. Kuwabara
基于Kashiwara和Rouquier的一个构造，我们给出了超环面簇的Beilinson-伯恩斯坦局部化定理的一个类似结果.在这种情况下，微分算子的层被W-代数的层所取代。作为一种特殊情况，我们的结果给出了与循环群相关的有理Cherednik代数的一个局部化定理。
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.