The Nekrasov Conjecture for Toric Surfaces

Understand

The Nekrasov conjecture predicts a relation between the partition function for N=2 supersymmetric Yang-Mills theory and the Seiberg-Witten prepotential.

• For instantons on R^4, the conjecture was proved, independently and using different methods, by Nekrasov-Okounkov, Nakajima-Yoshioka, and Braverman-Etingof.
• We prove a generalized version of the conjecture for instantons on noncompact toric surfaces.