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In this paper, we describe a categorical action of any symmetric Kac–Moody algebra on a category of quantized coherent sheaves on Nakajima quiver varieties. By “quantized coherent sheaves,” we mean… Click to show full abstract
In this paper, we describe a categorical action of any symmetric 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.
Keywords:
quantized quiver;
action quantized;
quiver varieties;
categorical action;
action
Journal Title: Mathematische Zeitschrift
Year Published: 2018
Link to full text (if available)
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Journal Title: Mathematische Zeitschrift
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!