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arXiv · 1208.5957

A categorical action on quantized quiver varieties

Ben Webster
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Abstract

In this paper, we describe a categorical action of any Kac-Moody algebra on a category of quantized coherent sheaves on Nakajima quiver varieties. By "quantized coherent sheaves," we mean a category of sheaves of modules over a deformation quantization of the natural symplectic structure on quiver varieties. This action is a direct categorification of the geometric construction of universal enveloping algebras by Nakajima.

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Ben Webster. 2012-08-29. A categorical action on quantized quiver varieties. https://doi.org/10.1007/s00209-018-2135-9

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