For any 4d N=2 theory, topologically twisted partition functions depend on the diffeomorphism type, 't Hooft fluxes, and a generalized spin-c structure.
Localisation of the Donaldson's invariants along Seiberg-Witten classes
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abstract
This article is a first step in establishing a link between the Donaldson polynomials and Seiberg-Witten invariants of a smooth 4-manifold.
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Topological Twisting of 4d $\mathcal{N}=2$ Supersymmetric Field Theories
For any 4d N=2 theory, topologically twisted partition functions depend on the diffeomorphism type, 't Hooft fluxes, and a generalized spin-c structure.