Coherent Sheaves on Quiver Varieties and Categorification
classification
🧮 math.AG
math.RT
keywords
quivervarietiesactionsalgebracoherentderivednakajimasheaves
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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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