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The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons
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The n-instanton contribution to the Seiberg-Witten prepotential of N=2 supersymmetric d=4 Yang Mills theory is represented as the integral of the exponential of an equivariantly exact form. Integrating out an overall scale and a U(1) angle the integral is rewritten as (4n-3) fold product of a closed two form. This two form is, formally, a representative of the Euler class of the Instanton moduli space viewed as a principal U(1) bundle, because its pullback under bundel projection is the exterior derivative of an angular one-form.
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A note on rank $\frac{3}{2}$ Liouville irregular block
The paper derives the rank 3/2 irregular conformal block for H1 Argyres-Douglas theory via holomorphic anomaly recursion and a deformed Seiberg-Witten curve, exact in the coupling.
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