QUIVER VARIETIES AND BEILINSON-DRINFELD GRASSMANNIANS OF TYPE A

@inproceedings{Mirkovic2008QUIVERVA,
  title={QUIVER VARIETIES AND BEILINSON-DRINFELD GRASSMANNIANS OF TYPE A},
  author={Ivan Mirkovi'c and Maxim Vybornov},
  year={2008}
}
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… CONTINUE READING

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