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Affine Laumon spaces and integrable systems

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arxiv 1112.1756 v2 pith:Y3EU52QB submitted 2011-12-08 math.AG hep-thmath.RT

classification math.AGhep-thmath.RT
keywords affinelaumonspacesadjointbackgroundbravermanbundlechern
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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

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  1. Classical elliptic integrable systems from the moduli space of instantons

    math-ph 2024-12 conditional novelty 4.0 of 10

    A review that derives Krichever's elliptic Calogero-Moser Lax matrix from qq-characters of instanton moduli spaces, with K-theoretic and elliptic counterparts, plus Lax eigenvectors from folded instantons.

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