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

页码：805 / 854

页数：50

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