Coherent sheaves on quiver varieties and categorification

Sabin Cautis, Joel Kamnitzer*, Anthony Licata

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


We construct geometric categorical g 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.

Original languageEnglish
Pages (from-to)805-854
Number of pages50
JournalMathematische Annalen
Issue number3
Publication statusPublished - Nov 2013
Externally publishedYes


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