# 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