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On Deformation Quantizations of Hypertoric varieties
Published 25 May 2010 in math.RT and math.QA | (1005.4645v3)
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.
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