Seiberg-Witten invariants and real curves
Gayet, Damien
HAL, hal-00001505 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-04-30
Classification:  14P25, 53D05, 57R57,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG],  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] 
@article{hal-00001505,
     author = {Gayet, Damien},
     title = {Seiberg-Witten invariants and real curves},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00001505}
}

Gayet, Damien. Seiberg-Witten invariants and real curves. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00001505/