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arxiv: 1005.4645 · v3 · pith:5ULFF4Y5new · submitted 2010-05-25 · 🧮 math.RT · math.QA

On Deformation Quantizations of Hypertoric varieties

Gwyn Bellamy , Toshiro Kuwabara This is my paper
classification 🧮 math.RT math.QA
keywords casehypertoriclocalizationsheavestheoremvarietiesalgebrasanalogue
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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.

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  1. Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories

    math.QA 2026-06 unverdicted novelty 7.0

    Constructs ħ-adic sheaves of vertex superalgebras on hypertoric varieties, proves the associated affine variety recovers the singular hypertoric one, establishes the 3d Higgs branch conjecture for abelian cases, and s...