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 C^2 in the Omega background, in the presence of a full surface operator insertion

Significant additions over previous version (including the computation of the main operator in the K-theory deformation)

References in corpus (1)

• Instanton counting via affine Lie algebras I: Equivariant J-functions of (affine) flag manifolds and Whittaker vectors

Cited by in corpus (6)

• Surface Operators and Separation of Variables
• Givental J-functions, Quantum integrable systems, AGT relation with surface operator
• On Framed Quivers, BPS Invariants and Defects
• Mock Modular Index of M2-M5 Brane System
• Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation
• Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation