Seiberg-Witten invariants and real curves
Differential Geometry
2007-05-23 v1 Complex Variables
Symplectic Geometry
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.
Cite
@article{arxiv.math/0404556,
title = {Seiberg-Witten invariants and real curves},
author = {Damien Gayet},
journal= {arXiv preprint arXiv:math/0404556},
year = {2007}
}
Comments
In french