- Volume 33 Issue 3
In , Maffei proved a certain relationship between quiver varieties of type A and the geometry of partial flag varieties over the nilpotent cone. This relation was conjectured by Naka-jima, and Nakajima proved his conjecture for a simple case. In the Maffei's proof, the key step was a reduction of the general case of the conjecture to the simple case treated by Nakajima through a certain isomorphism. In this paper, we study properties of this isomorphism.
Quiver varieties;group actions;Maffei's isomorphisms
- A. Maffei, Quiver varieties of type A, Comment. Math. Helv. 80 (2005), 1-27.
- H. Nakajima, Instantons on ALE spaces, quiver varieties and Kac-Moody algebras, Duke Math. J. 76 (1994), 365-416. https://doi.org/10.1215/S0012-7094-94-07613-8
- H. Nakajima, Quiver varieties and finite dimensional representations of quantum affine algebras, J. Amer. Math. Soc. 14 (2001), 145-238. https://doi.org/10.1090/S0894-0347-00-00353-2