Quiver varieties and Beilinson-Drinfeld Grassmannians of type A

Details Quiver varieties and Beilinson-Drinfeld Grassmannians of type A Quiver varieties and Beilinson-Drinfeld Grassmannians of type A

2007-12-26

arxiv.org/abs/0712.4160v2

Mathematics

Algebraic Geometry

36 pages. Minor errors corrected on page 12, references added

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Quiver varieties and Beilinson-Drinfeld Grassmannians of type A does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quiver varieties and Beilinson-Drinfeld Grassmannians of type A, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quiver varieties and Beilinson-Drinfeld Grassmannians of type A will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-200857