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Exact results for N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants
We provide a contour integral formula for the exact partition function of $$ \mathcal{N} $$ = 2 supersymmetric U(N) gauge theories on compact toric four-manifolds by means of supersymmetric localisation. We perform the explicit evaluation of the contour integral for U(2) $$ \mathcal{N} $$ = 2∗ theory on $$ {\mathrm{\mathbb{P}}}^2 …