The Nekrasov Conjecture for Toric Surfaces

Details The Nekrasov Conjecture for Toric Surfaces The Nekrasov Conjecture for Toric Surfaces

2008-08-06

arxiv.org/abs/0808.0884v2

Commun.Math.Phys.293:661-700,2010

Mathematics

Algebraic Geometry

38 pages; typos corrected, references added, minor changes (e.g. minor change of convention in Definition 5.13, 5.19, 6.5)

Scientific paper

10.1007/s00220-009-0948-4

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.

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