Affine Laumon spaces and integrable systems

Abstract

In this paper we formalize and prove a conjecture of Braverman concerning integrals of the Chern polynomial of the tangent bundle to affine Laumon spaces. This provides the computation of the Nekrasov partition function of N = 2 gauge theory with adjoint matter on C2 in the Omega background, in the presence of a full surface operator insertion

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