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arXiv · 1005.4645

On Deformation Quantizations of Hypertoric varieties

Gwyn Bellamy·Toshiro Kuwabara
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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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Gwyn Bellamy, Toshiro Kuwabara. 2012-08-29. On Deformation Quantizations of Hypertoric varieties. https://arxiv.org/abs/1005.4645

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