Homological realization of Nakajima varieties and Weyl group actions

被引：6
|
作者：
Frenkel, I
Khovanov, M
Schiffmann, O
机构：
[1] Yale Univ, Dept Math, New Haven, CT 06520 USA
[2] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
[3] DMA Ens Paris, F-75005 Paris, France
来源：
COMPOSITIO MATHEMATICA | 2005年 / 141卷 / 06期
关键词：
Nakajima quivers varieties; Weyl group; Koszul duality;
D O I：
10.1112/S0010437X05001727
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a realization of Nakajima varieties and the action of the Weyl group on them using certain canonical structures of homological algebras and their natural generalization, which we develop in this paper. We consider in detail the case of an affine quiver, where we present a simple homological characterization of Nakajima varieties and its relation to moduli of sheaves on the projective plane.
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页码：1479 / 1503
页数：25
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