Instanton counting on blowup, I
Instanton counting on blowup, I
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发表时间：
2003-06
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通讯作者：
H. Nakajima;K. Yoshioka
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作者：
H. Nakajima;K. Yoshioka
给出了Nekrasov猜想的数学严格证明：在R4上瞬子模空间上的等变上同调积分给出了N = 2的SUSY Yang-Mills理论的Seiberg-Witten预势的变形.通过研究R4的爆破模空间，我们得到了Nekrasov配分函数的微分方程。它是由Losev等人发现的Seiberg-Witten预势方程的变形，并由Gorsky等人进一步研究。
We give a mathematically rigorous proof of Nekrasov's conjecture: the integration in the equivariant cohomology over the moduli spaces of instantons on 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 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.