Coherent sheaves on quiver varieties and categorification

被引：17
|
作者：
Cautis, Sabin [1 ]
Kamnitzer, Joel [2 ]
Licata, Anthony [3 ]
机构：
[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
[2] Univ Toronto, Dept Math, Toronto, ON, Canada
[3] Stanford Univ, Dept Math, Palo Alto, CA 94304 USA
来源：
MATHEMATISCHE ANNALEN | 2013年 / 357卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
EQUIVALENCES; CATEGORIES; ALGEBRA;
D O I：
10.1007/s00208-013-0921-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct geometric categorical actions on the derived category of coherent sheaves on Nakajima quiver varieties. These actions categorify Nakajima's construction of Kac-Moody algebra representations on the K-theory of quiver varieties. We define an induced affine braid group action on these derived categories.
引用
收藏
页码：805 / 854
页数：50
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