# Instanton counting on blowups

Nekrasov conjectures that Seiberg-Witten prepotentials for $N=2$ supersymmetric gauge theories can be computed by the localization of equivariant cohomology groups of moduli spaces of instantons on $\mathbf R^4$. We prove his conjecture by considering similar localization on blowups. (Joint work with Kota Yoshioka)
nakajima@kusm.kyoto-u.ac.jp