A noncommutative-geometric interpretation of the resolution of equivariant instanton moduli spaces
نویسنده
چکیده
We generalize the recently proposed noncommutative ADHM construction to the case of Γ-equivariant instantons over R, with Γ a Kleinian group. We show that a certain form of the inhomogeneous ADHM equations describes instantons over a noncommutative deformation of the Kleinian orbifold C/Γ and we discuss the relation of this with Nakajima’s description of instantons over ALE spaces. In particular, we obtain a noncommutative interpretation of the minimal resolution of Kleinian singularities. a [email protected]
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