Coherent Sheaves on Quiver Varieties and Categorification

2011/04/03 by Cautis, Sabin, Kamnitzer, Joel, Licata, Anthony
#14F05 #81R50 #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1104.0352

Abstract

We construct geometric categorical Lie algebra 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.

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• Introduction to quiver varieties -- for ring and representation theoriests
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