Seiberg-Witten invariants and real curves

Details Seiberg-Witten invariants and real curves Seiberg-Witten invariants and real curves

2004-04-30

arxiv.org/abs/math/0404556v1

Mathematics

Differential Geometry

In french

Scientific paper

On a compact oriented four-manifold with an orientation preserving involution c, we count solutions of Seiberg-Witten equations, which are moreover symmetrical in relation to c, to construct "real" Seiberg-Witten invariants. Using Taubes' results, we prove that on a symplectic almost complex manifold with an antisymplectic and antiholomorphic involution, this invariants are not all trivial, and that the canonical bundle is represented by a real holomorphic curve.

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