On deformation quantizations of hypertoric varieties

Bellamy, G. and Kuwabara, T. (2012) On deformation quantizations of hypertoric varieties. Pacific Journal of Mathematics, 260(1), pp. 89-127. (doi: 10.2140/pjm.2012.260.89)

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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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Bellamy, Professor 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

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