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1 LM-Orsay - Laboratoire de Mathématiques d-Orsay

Abstract : 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.





Author: Damien Gayet -

Source: https://hal.archives-ouvertes.fr/



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