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Lectures on Nakajima's Quiver Varieties

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arxiv 0905.0686 v2 pith:JBI3ZAST submitted 2009-05-05 math.RT math.AG

classification math.RTmath.AG
keywords lecturesexpandedgeometricgivengrenoblemethodsnakajimaquiver
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This is an expanded version of lectures given at a Summer School "Geometric methods in Representation Theory" (Grenoble, 2008).

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Cited by 2 Pith papers

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  1. A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations

    math.RT 2026-08 conditional novelty 7.0 of 10

    For cyclic quiver representations and certain products of SL2 representations, the q-character of the nilpotent cone is computed by a Kostant-type partition formula, and a new class of Hesselink-type representations i...

  2. Weyl Mutations in Quiver Yangians

    hep-th 2026-01 conditional novelty 5.0 of 10

    Weyl group reflections act as Seiberg-like dualities on A_n quiver gauge theories, mapping stability chambers to each other while conjecturally leaving the quiver Yangian Y(sl_{n+1}) invariant.

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