nLab
quiver varieties

The term quiver variety refers to a number of varieties constructed as moduli spaces of representations of quivers. The most important are the Nakajima quiver varieties, which moduli of stable representations of preprojective algebras?, introduced by Hiraku Nakajima in

  • Hiraku Nakajima, Quiver varieties and Kac-Moody algebras. Duke Math. J. 91 (1998), no. 3, 515–560.
  • Hiraku Nakajima, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Duke Math. J. 76 (1994), no. 2, 365–416

These are notable for allowing a geometrical construction of the universal enveloping algebra of Kac-Moody algebras acting on the cohomology of quiver varieties and related spaces.

Created on February 22, 2012 20:35:51 by Ben Webster (129.10.73.95)