# Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential

@inproceedings{Braverman2006InstantonCV, title={Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential}, author={Alexander Braverman and Pavel Etingof}, year={2006} }

Let G be a simple simply connected algebraic group over ℂ with Lie algebra \( \mathfrak{g} \) . Given a parabolic subgroup P ⊂ G, in tikya[1] the first author introduced a certain generating function Z G,P aff . Roughly speaking, these functions count (in a certain sense) framed G-bundles on ℙ2 together with a P-structure on a fixed (horizontal) line in ℙ2. When P = B is a Borel subgroup, the function Z G,B aff was identified in tikya[1] with the Whittaker matrix coefficient in the universal… CONTINUE READING

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