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Coherent Sheaves on Quiver Varieties and Categorification (1104.0352v1)
Published 3 Apr 2011 in math.AG and math.RT
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.