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

Hiraku Nakajima·Kota Yoshioka
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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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Hiraku Nakajima, Kota Yoshioka. 2003-06-12. Instanton counting on blowup. I. 4-dimensional pure gauge theory. https://doi.org/10.1007/s00222-005-0444-1

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