Seiberg-Witten Equations

$$D_A\psi = 0$$

$$F_A^+ = -\tau(\psi,\psi),$$

where $\tau$ is the sesquilinear map $\tau:W^+\times W^+\to\Lambda^+\otimes\Bbb{C}$.

See also Witten's Equations

References

Donaldson, S. K. ``The Seiberg-Witten Equations and 4-Manifold Topology.'' Bull. Amer. Math. Soc. 33, 45-70, 1996.

Morgan, J. W. The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. Princeton, NJ: Princeton University Press, 1996.