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arXiv · 2103.11193

Localization theorems for quantized symplectic resolutions

Ivan Losev
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Abstract

The goal of this paper is to establish Beilinson-Bernstein type localization theorems for quantizations of some conical symplectic resolutions. We prove the full localization theorems for finite and affine type A Nakajima quiver varieties. The proof is based on two partial results that hold in more general situations. First, we establish an exactness result for global section functor if there is a tilting generator that has a rank 1 summand. Second, we examine when the global section functor restricts to an equivalence between categories $\mathcal{O}$.

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BibTeXRIS

Ivan Losev. 2021-03-20. Localization theorems for quantized symplectic resolutions. https://arxiv.org/abs/2103.11193

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