  We extend the graviphoton-corrected prepotential of five-dimensional pure
U(N) super Yang-Mills, which was originally proposed by Nekrasov, by
incorporating the effect of the five-dimensional Chern-Simons term. This
extension allows us to reproduce by a gauge theory calculation the partition
functions of corresponding topological A-model on local toric Calabi-Yau
manifolds X^m_N for all m=0,1,...,N. The original proposal corresponds to the
case m=0.
