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Instanton counting on blowup. I. 4-dimensional pure gauge theory

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arxiv math/0306198 v2 pith:NZIITW7P submitted 2003-06-12 math.AG hep-thmath-phmath.MP

Hiraku Nakajima , Kota Yoshioka This is my paper · ORCID
classification math.AGhep-thmath-phmath.MP
keywords blowupdeformationequationmathbbmodulinekrasovprepotentialseiberg-witten
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We give a mathematically rigorous proof of Nekrasov's conjecture: the integration in the equivariant cohomology over the moduli spaces of instantons on $\mathbb R^4$ gives a deformation of the Seiberg-Witten prepotential for N=2 SUSY Yang-Mills theory. Through a study of moduli spaces on the blowup of $\mathbb R^4$, we derive a differential equation for the Nekrasov's partition function. It is a deformation of the equation for the Seiberg-Witten prepotential, found by Losev et al., and further studied by Gorsky et al.

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Cited by 13 Pith papers

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