Instanton Counting via Affine Lie Algebras I: Equivariant J-functions of (affine) Flag Manifolds and Whittaker Vectors

@inproceedings{Braverman2008InstantonCV,
  title={Instanton Counting via Affine Lie Algebras I: Equivariant J-functions of (affine) Flag Manifolds and Whittaker Vectors},
  author={Alexander Braverman},
  year={2008}
}
Let g be a simple complex Lie algebra, G the corresponding simply connected group; let also gaff be the corresponding untwisted affine Lie algebra. For a parabolic subgroup P ⊂ G we introduce a generating function Z G,P which roughly speaking counts framed G-bundles on P endowed with a P -structure on the horizontal line (the formal definition uses the corresponding Uhlenbeck type compactifications studied in [3]). In the case P = G the function Z G,P coincides with Nekrasov’s partition… CONTINUE READING
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