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REMARKS ON THE MAFFEI`S ISOMORPHISM
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  • Journal title : Honam Mathematical Journal
  • Volume 33, Issue 3,  2011, pp.347-353
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2011.33.3.347
 Title & Authors
REMARKS ON THE MAFFEI`S ISOMORPHISM
Kwon, Nam-Hee;
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 Abstract
In [1], 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.
 Keywords
Quiver varieties;group actions;Maffei`s isomorphisms;
 Language
English
 Cited by
 References
1.
A. Maffei, Quiver varieties of type A, Comment. Math. Helv. 80 (2005), 1-27.

2.
H. Nakajima, Instantons on ALE spaces, quiver varieties and Kac-Moody algebras, Duke Math. J. 76 (1994), 365-416. crossref(new window)

3.
H. Nakajima, Quiver varieties and finite dimensional representations of quantum affine algebras, J. Amer. Math. Soc. 14 (2001), 145-238. crossref(new window)