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摘要翻译：
利用仿射Grassmannian自然产生的矩阵共轭类和（非Slodowy的）横切片构造了A型Nakajima的颤振变体。在完全通用的情况下，颤动变种被嵌入到Beilinson-Drinfeld Grassmannians a型中。我们的构造提供了Nakajima的颤动变种的压缩和仿射Grassmannian分解为颤动变种的不相交并。作为一个应用，我们提供了一个几何版本的斜对称$(GL(m),GL(n))$对偶。
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英文标题：
《Quiver varieties and Beilinson-Drinfeld Grassmannians of type A》
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作者：
Ivan Mirkovi\'c, Maxim Vybornov
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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一级分类：Mathematics 数学
二级分类：Representation Theory 表象理论
分类描述：Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra
代数和群的线性表示，李理论，结合代数，多重线性代数
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英文摘要：
We construct Nakajima's quiver varieties of type A in terms of conjugacy classes of matrices and (non-Slodowy's) transverse slices naturally arising from affine Grassmannians. In full generality quiver varieties are embedded into Beilinson-Drinfeld Grassmannians of type A. Our construction provides a compactification of Nakajima's quiver varieties and a decomposition of an affine Grassmannian into a disjoint union of quiver varieties. As an application we provide a geometric version of skew and symmetric $(GL(m), GL(n))$ duality.
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PDF链接：
https://arxiv.org/pdf/0712.4160
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