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In this paper we formalize and prove a conjecture of Braverman concerningintegrals of the Chern polynomial of the tangent bundle to affine Laumonspaces. This provides the computation of the Nekrasov partition function of N =2 gauge theory with adjoint matter on C^2 in the Omega background, in thepresence of a full surface operator insertion

Affine Laumon spaces and integrable systems