Affine Laumon spaces and integrable systems

In this paper we formalize and prove a conjecture of Braverman about certain integrals on affine Laumon spaces. This provides a rank n generalization of a construction of Nekrasov about Omega-deformed N=2 gauge theory with adjoint matter.

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The Shuffle Algebra Revisited

Holder properties of perturbed skew products and Fubini regained