An introduction to the Seiberg-Witten equations on symplectic manifolds
An introduction to the Seiberg-Witten equations on symplectic manifolds
The Seiberg-Witten equations are defined on any smooth 4-manifold. By appropriately counting the solutions to the equations, one obtains smooth 4-manifold invariants. On a symplectic 4-manifold, these invariants have a symplectic interpretation, as a count of pseudoholomorphic curves. This allows us to transfer information between the smooth and symplectic categories …