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Seiberg-Witten invariants and real curves

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arxiv math/0404556 v1 pith:6PJ7SXK3 submitted 2004-04-30 math.DG math.CVmath.SG

Damien Gayet This is my paper · ORCID
classification math.DGmath.CVmath.SG
keywords invariantsrealseiberg-witteninvolutionalmostantiholomorphicantisymplecticbundle
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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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