The Nekrasov conjecture for toric surfaces -- Elizabeth Gasparim, April 3, 2009

The Nekrasov conjecture predicts a relation between the partition function for SUSY N=2 Yang-Mills theory and the Seiberg-Witten prepotential. This conjecture was proved for instantons on R^4 by Nekrasov-Okounkov, Nakajima-Yoshioka, and Braverman-Etingof. I will present joint work with Melissa Liu, where we prove the conjecture for instantons on non-compact toric surfaces.